Solve the following logarithmic equation. Verify your results using a graphing utility. log a (x - 2) - log a(x+ 7) = log a (x- 3) – log a (x+ 4) What is the exact solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is { }. (Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.) O B. There is no solution.

Q: Which of the following values of x represents a solution to log 5 (3X+10)= 2 ? Ox=0 O x- 14 O x- 5

A: We use logarithmic properties Logab= y then  b= ay

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: solve the following equation:  x = log5(1/625)

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Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. log x =…

A: The graphing device helps to find the solution of the given equation. Substitution of the given…

Q: Which of the following is an equivalent equation to 10* = 430? %3D A) log 430 = x C) log, 10 = 430…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Find the exact solution, using common logarithms, and a two-decimal-place approximation of each…

A: Find the exact solution, using common logarithms, and a two-decimal-place approximation of each…

Q: What value of x will make the following equation true? log (2x+6) =1 -5 O x = 2. O x= 8

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Q: Solve the following equation using the corresponding properties: log3 (5x + 7) = 2

A: I have written the used property in the side of solution step and easily find the required solution.

Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

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Q: Use the definition of a logarithm to solve the equation. 2 log(3n + 4) + 2 = 6 n =

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Q: Solve the following equation: log3(3x) = log3 3 + log3(4x − 1).

A: To solve the below equation

Q: Solve for x. - 4x 16 = 13*-2 Write the exact answer using either base-10 or base-e logarithms.

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Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In x – In(x2 + 3x + 2)²|

A: The exponent 5 becomes the coefficient

Q: 2x-1 = 3x

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Q: Solve the following: . Find the solution set for log3 2+2.log, x= log3(7x-3)

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Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: Find the exact solution, using common logarithms, and a two-decimal-place approximation of each…

A: Given: 2-x2=5 By apply ln on both sides we get, ln2-x2=ln5 Therefore, By using the exponent rule,…

Q: Solve for x. If necessary, round to the nearest ten-thousandth. (If there is no solution, enter NO…

A: Given expression is log3(3x) - log3(2x - 3) = 2

Q: Express as a single logarithm and, if possible, simplify. log (x? + 3x-4) - log (x2 - 16) log (x…

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Q: Solve the following logarithmic equations. a) log2 (x) + log2(x +2) = log2(x + 12). In(x) + In(x -…

A: By Using logarithmic formula

Q: Solve the following logarithmic equation: log2 (x – 3) + log2 x – log2 (x + 2) = 2. - -

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Q: Find the solution of the equation, correct to two decimal places. log2(x+2) + log2(x−1)= 2

A: We gonna use log properties to sole this problem log m + log n = log mn  loga x = y  => x = ay

Q: log, (x + 1) = -1

A:

Q: Solve the following exponential and logarithmic equations. When appropriate, write the answer as…

A: 1.Consider 10^6x = 3^(3x+4)

Q: solve the following equation:  logx(25)= -2

A: We have to solve the given log expression

Q: Solve the following logarithm problem for the positive solution for x. 1 log, = -2 %3D 49

A: x=?

Q: Write the following logarithmic equation in index form and hence solve for x logx(4x-4)=2

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Q: Find the exact solution, using common logarithms, and a two-decimal-place approximation of each…

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Q: Find the solutions of the equation, rounded to two decimal places. 3 log x = 6 - 2x

A: Logarithmic functions and exponential functions are considered to be the inverses of each other as…

Q: 2. 2 log x – 1 = log(x-1)

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Q: 1 log 3 27 |

A: To find : logx127=-34

Q: |4. Use your calculator to find the value of x. a. log 1,750 = x

A: We plug log(1750) in the calculator

Q: Q13: Use log function to solve the equation for t in terms of A and B: A = B e t/2

A: Solution:-  The given function is A=Be-t2      ................(eq01) taking log both of sides

Q: Solve the exponential equation 9e5x = 1269. Where necessary, express the solution set in terms of…

A: Given exponential equation 9e5x=1269

Q: Give both the exact answer value and the decimal approximation (if needed).  a.) log3(2-x)=3 b.)…

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Q: Solve the following logarithms for x. 12) log5 225 = 2x-6

A: given :

Q: Solve the following equations i st- 7 . log. () - 2

A: We are authorized to solve only 3 subpart of a question, please repost remaining questions Logarithm

Q: Solve the following logarithmic equations. a. 〖log〗_3 (x-4)+〖log〗_3 7=2 b. log(3x-13)=2+log⁡x

A: The explanation of answer as follows

Q: Solve the following log equation exactly. If there are two answers, type in the smallest answer…

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Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

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Q: . If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential…

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Q: log, x = 2

A: To solve the given log, convert the log form to exponential form  Lets apply the rule to convert…

Q: Solve the following logarithmic equation: log, (z+4) + log,(z-2) 2 Round to the nearest hundredths,…

A: Handwritten solution is provided below log4x+4+log4x-2=2

Q: Solve the following equation: Show all steps log(2x – 3) – log3 9 = – log x

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Q: Solve the following equation: 1 log, (15-4n)=

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Q: logs(2x-8) = log5(4x-10). ...

A: loga(x) =loga(y) this impies x=y