Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. log (x+ 14) – log 2 = log (2x + 3) Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Q: use the laws of logarithms to solve the equation. log3(x+1) + log3 (2x-3) =1

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Q: Solve the logarithmic equation: x=log2 1/8 Thank you !

A: Given:

Q: Find the domain and solve log, 81 =x

A: Definition of the Domain of a Function For a function f defined by an expression with variable x,…

Q: Solve the logarithmic equation. log x+ log (x- 9) = 1

A: Use log property

Q: Solve each equation without using a calculator. Some solutions will need to be expressed using log…

A: We have some equations and we need to solve them using log notations. This can be done as follows:

Q: Find the domain and solve: log, 128 =x Domain Example: x=3; x-5 Solution Example: x-3; x-5

A: topic - logarithmic function

Q: Solve log3 a = -2 is a solution Next >

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Q: Solve the equation log2(x + 1) + log2(x - 1) = 3 or inequality.

A: The exponential property states that logax+logay=logaxy.

Q: Find the domain and solve: log, 128 =x Domain Example: x=3; x=5 Solution x =7

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Q: Solve the equation log5 625 = x

A: We can solve the logarithmic equations by converting it to the exponential equations . The…

Q: Solve 3x-1= 2x. Write your answer using only natural logarithms.

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Q: Solve the equation: log3(2x+1) = log3(5x) + 2. Be sure to check your answers in the original…

A: Given equation: log32x+1=log35x+2

Q: Convert to a logarithm to solve. %3D

A: Given, 3x= 1/3

Q: Find the domain and solve the following exponential and logarithmic equations log (2x+1)- log (x-2)…

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Q: Solve the equation for x, if there is a solution. (If there is no solution, enter NO SOLUTION.)…

A: Given that

Q: Solve the equation. Find the exact answer if possible. log3 (x - 8) + log3 x = 2

A: Solve the problem by logarithmic method.

Q: Express the solution to each equation as a logarithm. Then, find the approximate value of the…

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Q: 1. 2 = log,(x2 + 3x + 9)

A: given: 2=log7x2+3x+9 solution: 72=7log7x2+3x+9⇒49=x2+3x+9⇒x2+3x+9-49=0⇒x2+3x-40=0…

Q: Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) 7e2x + 2 − 5 = −80 x =

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Q: Find the domain and solve: log,81 =x

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Q: Write the equation log5(x + 4) = 2 in its equivalent exponential form. Then solve for x.

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Q: Solve the logarithmic equation: log , (10 – 2x) – log , (x + 3) = 1.

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Q: Find the domain and solve: log,(3x – 1) = log,(10x –9) Domain Example: x7 Solution Example: x=3; x=5

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Q: Write the equation in its equivalent exponential form. Then solve for x : log3(x - 1) = 2

A: The given equation is  log3(x - 1) = 2   known fact: If logba=c is equivalent to a=bc

Q: Solve the equation. log ( 5 + x) - log (x - 3) = log 5

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Q: Solve the equation 5% 7 for x.

A: Given,          The equation is 5x=7.

Q: Dissect the equation, solve, and do the checking. (Show your solutions.) 1. 2 log,x – log.(x + 6) =…

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Q: log,(4x) – log, (2) = 3

A: Given :              log4(4x) - log4(2) = 3

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

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Q: Write the equation in its equivalent exponential form. Then solve for x : log64 x = 2/3

A: Given equation, log64x=23

Q: Solve: log, (x- 3)+ log, (r 4)= log3 (2)

A: According to the addition property of logarithms, we have logax+logay=logaxy According to the…

Q: Solve the equation. Leave your answer in exact form. log2 (x + 7) + log2(x) = log,(2)

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Q: olve the variable for the exact and approximate for solution log5(x-12)=4

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Q: Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) 5x - 12 = 1

A: Given,          5x-12=1

Q: Solve each equation. Give the solution in exact form. Leave in terms of logarithms where necessary.…

A: 93x-1=32x

Q: 2 log3 (x+4) =log3 9 + 2

A: Here, we need to solve 2log3x+4=log39+2. So,…

Q: Find the domain and solve: log, 128 =x Domain Example: x=3; x-5 Solution Example: x=3; x35

A: The given function is  log2 128=x

Q: Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) 5x − 18 = 1 x =

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Q: Solve the equation. Write the solution set with the exact solutions. logx+ log (x - 19) = log (x–…

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Q: Simplify the left side of the equation, and then solve. log4 x - log4 x = 4 X =

A: We have to use a property of logarithms to solve this problem. The process is explained in step 2.

Q: Solve the logarithmic equation. log,(z – 6) – log,(x +7) = 3 help (numbers)

A: The given logarithmic equation is log2x-6-log2x+7=3

Q: Write the equation in its equivalent exponential form. Then solve for x.

A: It is given that, log64x=23 Write the equation in its equivalent exponential form. Then solve for x.…

Q: Solve the logarithmic equation log4(3x - 5) = 3

A: To Determine:  Solve the logarithmic equation. Given: we have log43x-5=3 Explanation: we know that…

Q: Solve the equation below. log4x=-3 The soulution set is x= ?

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Q: Solve the equation log, x + log, x³ = 10.

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