Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 9PT: Solve for x by converting the logarithmic equation log17(x)=2 to exponential form.
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Hi. Can you sho me the steps and the answer pls. Thanks.

Solve the following logarithmic equation.
log(2x - 2)= log(x + 1) + log(4)
O 4
ONone of those
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Transcribed Image Text:Solve the following logarithmic equation. log(2x - 2)= log(x + 1) + log(4) O 4 ONone of those Show Answer Submit
Expert Solution
Step 1

Given:

log2x-2=logx+1+log4

Now by using the logarithmic property,

loga+logb=loga·b

log2x-2=logx+1+log4log2x-2=logx+14

We know that,

loga=logba=b

By cancelling log of both sides we get,

2x-2=x+14

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