a circular oil spill continues to increase in size. the radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. the area of the circular region is given by the function a(r) = πr2, where r is the radius of the circle at time t.Contact Us: [email protected]. Call Us At: 785.690.7081 Ext.453richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25How to Determine an Odd Function. Important Tips to Remember: If ever you arrive at a different function after evaluating [latex]\color{red}–x[/latex] into the given [latex]f\left( x \right)[/latex], immediately try to factor out [latex]−1[/latex] from it and observe if the original function shows up.Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees.Feb 21, 2022 · Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Video transcript. - So we have the graphs of two functions here. We have the graph y equals f of x and we have the graph y is equal to g of x. And what I wanna do in this video is evaluate what g of, f of, let me do the f of it another color, f of negative five is, f of negative five is. And it can sometimes seem a little daunting when you see ... This is the beginning of Order of Operations. We do parentheses first, then multiplying or dividing next (from left to right), then addition and subtraction ...How to Determine an Odd Function. Important Tips to Remember: If ever you arrive at a different function after evaluating [latex]\color{red}–x[/latex] into the given [latex]f\left( x \right)[/latex], immediately try to factor out [latex]−1[/latex] from it and observe if the original function shows up. Evaluate this (-1/5)^2. Help! 4/5x - 1/4x = 11 -0.65x + 0.45x = 5.4 (answer must fit the layout) which place do I use to compare 60,618 and 60,647? Evaluate the expression when =x−7 and =y2 . −x6y.While we can compose the functions for each individual input value, it is sometimes helpful to find a single formula that will calculate the result of a composition f (g(x)) f ( g ( x)). To do this, we will extend our idea of function evaluation. Recall that, when we evaluate a function like f (t) = t2 −t f ( t) = t 2 − t, we substitute the ...What is the simplest form of mc001-1.jpg. (A) sqrt 2. Which expression should you multiply the numerator and denominator of mc001-1.jpg by to rationalize the denominator? C. What is mc002-1.jpg in simplest form? A. What is the simplest form of mc001-1.jpg. D. The gravitational force formula is mc001-1.jpg where F is the force between two ...We would like to show you a description here but the site won’t allow us.richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Customize your avatar with a never-ending variety of clothing options, accessories, gear, and more! Polynomial Division Calculator. Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result!Study with Quizlet and memorize flashcards containing terms like Which graph shows the solution to the equation 4x - 3 = 8?, To solve e4 - 3x = mr001-1.jpgx + 9 by graphing, which equations should be graphed?, Complete the steps to solve the equation 4e2 + 2x = x − 3 by graphing.Use the identity below to complete the tasks: a3 + b3 = (a + b) (a2 - ab + b2) Use the identity for the sum of two cubes to factor 8q6r3 + 27s6t3. What is a? What is b? Factor the expression. es003-1.jpg es003-2.jpg es004-1.jpg es005-1.jpg es006-1.jpg.Find an answer to your question Evaluate each expression. 16^5/4 * 16^1/4 / (16^1/2)^2. Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box.Given constraints: x es002-1.jpg 0, y es002-2.jpg 0, 2x + 2y es002-3.jpg 4, x + y es002-4.jpg 8. Explain the steps for maximizing the objective function P = 3x + 4y. Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon.Mar 26, 2018 · The power of half, shows the radical surd form of a number. To eliminate this fractional power, square both the sides. Solve the equation further as, Thus to complete the work first subtract with 5 both side of expression, then square both side to find the possible solution of equation which is 14. Learn more about the radical surd here; We would like to show you a description here but the site won’t allow us. Well, the textbook answer is that there are only 6 trig ratios, which we have already covered. However, if you really want to devel into the topic, the historical answer would be that there are at least 12 ratios, which include the ones we've learned and some new ones which are versine, haversine, coversine, hacoversine, exsecant, and excosecant.Contact Us: [email protected]. Call Us At: 785.690.7081 Ext.453Do not find the value of this expression. Read the Lesson 1. There is a customary order for grouping symbols. Brackets are used outside of parentheses. Braces are used outside of brackets. Identify the innermost expression(s) in each of the following expressions. a. [(3 2 2) 8] 4]} 2 2) b. 9 [5(8 6) 2(10 7)] (8 6) and (10 7) c. {14 [8 (3 12) 2 ... Study with Quizlet and memorize flashcards containing terms like Given f(x) = x - 2 andmc001-1.jpg which of the following values is not in the domain of mc001-2.jpg, Given f(x) = 3x - 5 and mc001-1.jpg what is mc001-2.jpg, Given mc001-1.jpg and mc001-2.jpg, mc001-3.jpg The range of es002-1.jpg is and more.Polynomial Division Calculator. Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result! Hence, the order of steps needed to simplify this expression is. Step 1. Step4. Step3. Step2. What is the simplification? Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. Here given expression is. Step 1:-Simplify the parenthesis. Step 2:- Evaluate exponentsLarry's pet store made $30 before a pipe burst and he had to close early to get it fixed. He realized that he lost es001-1.jpg of a dollar each hour that the store was closed. If the expression that models this situation is 30 es001-2.jpg, what is Larry's profit if the store was closed for 8 hours? $ Dilation - stretching or compressing the graph of a function. Move the slider on the graph to graph each function and describe the transformation. y=2_/x. vertical stretch. y=0.5_/x. vertical compression. Which of the following statements are true? Check all of the boxes that apply. A. What is the simplest form of mc001-1.jpg. (A) sqrt 2. Which expression should you multiply the numerator and denominator of mc001-1.jpg by to rationalize the denominator? C. What is mc002-1.jpg in simplest form? A. What is the simplest form of mc001-1.jpg. D. The gravitational force formula is mc001-1.jpg where F is the force between two ... In the video below we show another example of how to use the order of operations to simplify an expression that contains exponents and grouping symbols. Simplify: 23 +34 ÷3−52 2 3 + 3 4 ÷ 3 − 5 2. If an expression has several exponents, they may be simplified in the same step. Simplify exponents. Divide.The order of operations is used to evaluate and simplify composite functions, working from the inside out by substituting one function in place of the variable for another funtion. Steps outlined to algebraically find the inverse function: Substitute f (x) with y. Reverse the x and y variables. Solve for y. Replace y with the inverse notation f ...Aug 29, 2021 · Answer to Identify each of the following as rational or irrational. square root of 23 104.42 square root of 64 49.39overline 6 10.97846727460 While we can compose the functions for each individual input value, it is sometimes helpful to find a single formula that will calculate the result of a composition f (g(x)) f ( g ( x)). To do this, we will extend our idea of function evaluation. Recall that, when we evaluate a function like f (t) = t2 −t f ( t) = t 2 − t, we substitute the ... Oct 31, 2018 · The matching is defined as 1-B, 2-C, 3-E, 4-D, 5-A. Step-by-step explanation: The given expression are. 1. Therefore the answer of this expression is option B. 2. Therefore the answer of this expression is option C. 3. Therefore the answer of this expression is option E. 4. Therefore the answer of this expression is option D. 5. Larry's pet store made $30 before a pipe burst and he had to close early to get it fixed. He realized that he lost es001-1.jpg of a dollar each hour that the store was closed. If the expression that models this situation is 30 es001-2.jpg, what is Larry's profit if the store was closed for 8 hours? $ Oct 10, 2020 · Find an answer to your question Vincent wrote an example of a proportion on the board. es002-1.jpg Evaluate Vincent’s proportion to determine if it is correct.… helplease helplease 10.10.2020 Oct 20, 2018 · 1. Substitute the values for the variables. we plug in -1 for x and 3 for y. 2. Identify grouping symbols, beginning with the innermost symbols. We take exponent and then we multiply . 3. Determine and apply the rules of exponents to simplify (-1)^4 = -1 * -1 * -1 * -1 = 1 (3)^3 = 3*3*3= 27. 4. Evaluate. 162. The value of the expression is 162 Jul 11, 2015 · This is the beginning of Order of Operations. We do parentheses first, then multiplying or dividing next (from left to right), then addition and subtraction ... What is mc002-1.jpg in radical form? A) 3√6^2. Find the product with the exponent in simplest form. Then, identify the values of x and y. x= 7, y= 12. Write the expression 6 7/12 in radical form. B) 12√6^7.Study with Quizlet and memorize flashcards containing terms like Evaluate the given expression. 10 C 4 * 4 C 2 a. 1,260 c. 1,275 b. 1,278 d. 1,270, Compute the following: 7!/3! a. 1680 b. 840 c. 21 d. 4, Compute the following. 325 C 1 a. 325 b. 324 c. 1 d. 326 and more.Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations es003-1.jpg so that you understand betterApr 24, 2020 · Equivalent expressions are expressions that work the same even though they look different. According to the given question. We have a statement " 36 superscript negative one haft". The mathematical expression for the above statement is . The above mathematical expression can be written as. Therefore, the equivalent expression for is given by What is the value of mc005-1.jpg? -2. What is the value of log 43? Use the calculator. Round your answer to the nearest tenth. 1.6. Which logarithmic equation is equivalent to 32 = 9? 2=log2 (9) The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation mc026-1.jpg, where I is the intensity of a given ...Dec 1, 2017 · We write numbers in exponent form because it is more compact to write repetitive multiplications a large number of times.It defines how many times a number is being multiplied to it self. We know exponents describe how many times a number is repetitively multiplied by itself. Given 27^2/27^4/3 which can be written as which is = . richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25The products of numbers or expressions is calculated by multiplying the numbers or expressions. The simplified product of is . How to determine the simplified product? The product is given as: Express 64 as 4^3. Express x^9 as (x^3)^3. Evaluate the cube roots. Express x^5 as x^3 * x^2. Evaluate the cube root. Multiply. Hence, the simplified ...Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees.Since we are not given the exact radian value to convert, we can assume the value of radians. Using the conversion factor: To convert radians to degrees, we will write: radians = x. Divide both expressions: Hence the value of radians to degrees is 90 degrees.Basic Math. Math Calculator. Step 1: Enter the expression you want to evaluate. The Math Calculator will evaluate your problem down to a final solution. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. Step 2: Click the blue arrow to submit and see your result! Find an answer to your question Vincent wrote an example of a proportion on the board. es002-1.jpg Evaluate Vincent’s proportion to determine if it is correct.… helplease helplease 10.10.2020Apr 15, 2019 · Evaluate this (-1/5)^2. Help! 4/5x - 1/4x = 11 -0.65x + 0.45x = 5.4 (answer must fit the layout) which place do I use to compare 60,618 and 60,647? Evaluate the expression when =x−7 and =y2 . −x6y. The value of heat of the reaction for the given chemical reaction is equal to -175.91 kJ.. How do we calculate the change in enthalpy of the reaction? Change in enthalpy of the reaction is calculated by substracting the total sum of enthalpies of reacatnts from the the total sum of the enthalpies of products.Oct 10, 2020 · Find an answer to your question Vincent wrote an example of a proportion on the board. es002-1.jpg Evaluate Vincent’s proportion to determine if it is correct.… helplease helplease 10.10.2020 1. Substitute the values for the variables. we plug in -1 for x and 3 for y. 2. Identify grouping symbols, beginning with the innermost symbols. We take exponent and then we multiply . 3. Determine and apply the rules of exponents to simplify (-1)^4 = -1 * -1 * -1 * -1 = 1 (3)^3 = 3*3*3= 27. 4. Evaluate. 162. The value of the expression is 162To calculate a determinant you need to do the following steps. Set the matrix (must be square). Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated. To understand determinant calculation better input ...Equivalent expressions are expressions with equal ... Evaluate the like terms. 2(x-7)- 2(2x-5) = -2x -4 ... Identify the reference angle es001-1. Jpg for each given ...The given expression is a sum of two cubes. The factorization of the given expression is . Given: The given identity is, . It is required to factorize using the given identity. The given expression can be written in the form of sum of two cubes as, Here, a and b are and respectively. Now, the factorization of the given expression can be one as,Hence, the order of steps needed to simplify this expression is. Step 1. Step4. Step3. Step2. What is the simplification? Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. Here given expression is. Step 1:-Simplify the parenthesis. Step 2:- Evaluate exponentsStudy with Quizlet and memorize flashcards containing terms like Evaluate the given expression. 10 C 4 * 4 C 2 a. 1,260 c. 1,275 b. 1,278 d. 1,270, Compute the following: 7!/3! a. 1680 b. 840 c. 21 d. 4, Compute the following. 325 C 1 a. 325 b. 324 c. 1 d. 326 and more. Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees.Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations es003-1.jpg so that you understand better Mar 12, 2019 · Find the product es001-1.jpg on E.D.G 8/6n-4 *(9n2-4) ... Find the length of each side of a square plot having perimeter 172 m Find the place value of 1 in 915,342,76 ... What is the simplest form of mc001-1.jpg. (A) sqrt 2. Which expression should you multiply the numerator and denominator of mc001-1.jpg by to rationalize the denominator? C. What is mc002-1.jpg in simplest form? A. What is the simplest form of mc001-1.jpg. D. The gravitational force formula is mc001-1.jpg where F is the force between two ...richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25May 8, 2018 · The value of heat of the reaction for the given chemical reaction is equal to -175.91 kJ.. How do we calculate the change in enthalpy of the reaction? Change in enthalpy of the reaction is calculated by substracting the total sum of enthalpies of reacatnts from the the total sum of the enthalpies of products. Notice that [latex]x+1[/latex] is a common factor to the numerator and the denominator. The zero of this factor, [latex]x=-1[/latex], is the location of the removable discontinuity. Notice also that [latex]x - 3[/latex] is not a factor in both the numerator and denominator. The zero of this factor, [latex]x=3[/latex], is the vertical asymptote.Contact Us: [email protected]. Call Us At: 785.690.7081 Ext.453Study with Quizlet and memorize flashcards containing terms like Evaluate the given expression. 10 C 4 * 4 C 2 a. 1,260 c. 1,275 b. 1,278 d. 1,270, Compute the following: 7!/3! a. 1680 b. 840 c. 21 d. 4, Compute the following. 325 C 1 a. 325 b. 324 c. 1 d. 326 and more. The first step is to change the equations into y format. y= mx + b. The y- intercept of this graph is at the point (0,2). Since the line is going down, the slope is negative.Study with Quizlet and memorize flashcards containing terms like Evaluate the given expression. 10 C 4 * 4 C 2 a. 1,260 c. 1,275 b. 1,278 d. 1,270, Compute the following: 7!/3! a. 1680 b. 840 c. 21 d. 4, Compute the following. 325 C 1 a. 325 b. 324 c. 1 d. 326 and more.Notice that [latex]x+1[/latex] is a common factor to the numerator and the denominator. The zero of this factor, [latex]x=-1[/latex], is the location of the removable discontinuity. Notice also that [latex]x - 3[/latex] is not a factor in both the numerator and denominator. The zero of this factor, [latex]x=3[/latex], is the vertical asymptote.A. Solve: 3 ln x = ln 216. B. Identify the solution set of 3 ln 4 = 2 ln x. C 8. Identify the solution set of 6 ln e = eln 2x. B 3. A town predicts that its population will double in es001-1.jpg years. Simplify the expression.Polynomial Division Calculator. Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result! We write numbers in exponent form because it is more compact to write repetitive multiplications a large number of times.It defines how many times a number is being multiplied to it self. We know exponents describe how many times a number is repetitively multiplied by itself. Given 27^2/27^4/3 which can be written as which is = .Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations es003-1.jpg so that you understand betterFeb 23, 2020 · Simplify each expression. - 2650912 ... Simplify each expression. mc001-1.jpg See answer Advertisement Advertisement shekinahdawne shekinahdawne =tjk 89 because it is ... Feb 23, 2020 · Simplify each expression. - 2650912 ... Simplify each expression. mc001-1.jpg See answer Advertisement Advertisement shekinahdawne shekinahdawne =tjk 89 because it is ... We would like to show you a description here but the site won’t allow us. Notice that [latex]x+1[/latex] is a common factor to the numerator and the denominator. The zero of this factor, [latex]x=-1[/latex], is the location of the removable discontinuity. Notice also that [latex]x - 3[/latex] is not a factor in both the numerator and denominator. The zero of this factor, [latex]x=3[/latex], is the vertical asymptote. Mar 29, 2018 · richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25 Polynomial Division Calculator. Step 1: Enter the expression you want to divide into the editor. The polynomial division calculator allows you to take a simple or complex expression and find the quotient and remainder instantly. Step 2: Click the blue arrow to submit and see the result! A. Solve: 3 ln x = ln 216. B. Identify the solution set of 3 ln 4 = 2 ln x. C 8. Identify the solution set of 6 ln e = eln 2x. B 3. A town predicts that its population will double in es001-1.jpg years. Simplify the expression.To calculate a determinant you need to do the following steps. Set the matrix (must be square). Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated. To understand determinant calculation better input ... To calculate a determinant you need to do the following steps. Set the matrix (must be square). Reduce this matrix to row echelon form using elementary row operations so that all the elements below diagonal are zero. Multiply the main diagonal elements of the matrix - determinant is calculated. To understand determinant calculation better input ... Study with Quizlet and memorize flashcards containing terms like Given f(x) = x - 2 andmc001-1.jpg which of the following values is not in the domain of mc001-2.jpg, Given f(x) = 3x - 5 and mc001-1.jpg what is mc001-2.jpg, Given mc001-1.jpg and mc001-2.jpg, mc001-3.jpg The range of es002-1.jpg is and more.Divide each term in by . ... Rewrite the expression. Step 7.3.5.5. Evaluate the exponent. ... Step 7.5.1. Combine using the product rule for radicals. Simplification or other simple results. Camera input is not recognized! . . This solution deals with simplification or other simple results. Changes made to your input should not affect the solution: (1): "s0" was replaced by "s^0". (2): Dot was discarded near "1.j".Study with Quizlet and memorize flashcards containing terms like How will this system at equilibrium be affected by each of the conditions stated here? es001-1.jpg removal of H2O addition of O2 decrease in pressure increase in temperature, Which contain a common ion that will shift the equilibrium system represented by the equation shown? Select all that apply. How will the addition of HCl ... Contact Us: [email protected]. Call Us At: 785.690.7081 Ext.453
Study with Quizlet and memorize flashcards containing terms like Which of the following show a geometric series? Select all that apply., Identify the value of r and a1 for each geometric series., 0.25 + 1 + 4 + 16 + 64 Enter the values used in finding a partial sum. and more. . The concept of percearpercent20expressionpercent20librarypercent20percent3capercent20href
Answer to Identify each of the following as rational or irrational. square root of 23 104.42 square root of 64 49.39overline 6 10.97846727460In the video below we show another example of how to use the order of operations to simplify an expression that contains exponents and grouping symbols. Simplify: 23 +34 ÷3−52 2 3 + 3 4 ÷ 3 − 5 2. If an expression has several exponents, they may be simplified in the same step. Simplify exponents. Divide.Simplify each expression. - 2650912. use the quadratic formula to solve the quadratic equation:a²+11a-12=01. Substitute the values for the variables. we plug in -1 for x and 3 for y. 2. Identify grouping symbols, beginning with the innermost symbols. We take exponent and then we multiply . 3. Determine and apply the rules of exponents to simplify (-1)^4 = -1 * -1 * -1 * -1 = 1 (3)^3 = 3*3*3= 27. 4. Evaluate. 162. The value of the expression is 1626 + x = 12 6 + x = 12. To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.Evaluate each expression if a = 4, b = 6, and c = 8. 8b í a 62/87,21 Replace b with 6 and a with 4. 2a + (b2 · 3) 62/87,21 Replace a with 4 and b with 6. 62/87,21 Replace a with 4 and b with 6. BOOKS Akira bought one new book for $20 and three used books for $4.95 each. Write and evaluate an expression to find how much money the books cost ... Basic Math. Math Calculator. Step 1: Enter the expression you want to evaluate. The Math Calculator will evaluate your problem down to a final solution. You can also add, subtraction, multiply, and divide and complete any arithmetic you need. Step 2: Click the blue arrow to submit and see your result! What is mc002-1.jpg in radical form? A) 3√6^2. Find the product with the exponent in simplest form. Then, identify the values of x and y. x= 7, y= 12. Write the expression 6 7/12 in radical form. B) 12√6^7. Study with Quizlet and memorize flashcards containing terms like How will this system at equilibrium be affected by each of the conditions stated here? es001-1.jpg removal of H2O addition of O2 decrease in pressure increase in temperature, Which contain a common ion that will shift the equilibrium system represented by the equation shown? Select all that apply. How will the addition of HCl ...However, this isn't necessary, since you can just change the expression inside the sum to get the same effect. So if you have the sum from i=1 to 10 of i², and you want to i to step by 1/3 instead of 1, you can change the expression i² to (1+(i-1)/3)², and have i go from i=1 to 28.CH3OH(l) mc015-1.jpg CH3OH(aq) K3PO4(s) mc015-2.jpg 3K+(aq) + Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to I need some help with a handful of questions.May 6, 2020 · Answer: Step-by-step explanation: The picture helps a lot in understanding what the problem is. I could not understand what you typed. OK, I can evaluate these log expressions. .