Log (2x+1) - log(3x -1) =1 Find x

asked Dec 9, 2023 39.6k views

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Log (2x+1) - log(3x -1) =1
Find x

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3 votes

Answer:

11/28

Explanation:

$\log \left((2x+1)/(3x-1) \right)=1 \\ \\ (2x+1)/(3x-1)=10 \\ \\ 2x+1=30x-10 \\ \\ 11=28x \\ \\ x=11/28$

On checking this solution in the original equation, we see it works.

Lmsteffan answered Dec 13, 2023

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