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

Jonbonazza asked Jan 19, 2023

393,755 views

4 votes

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

Jonbonazza asked Jan 19, 2023

2.4k points

Your comment on this question:

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Email me at this address if my answer is selected or commented on:Email me if my answer is selected or commented on

Privacy: Your email address will only be used for sending these notifications.

16 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.

Nakeya answered Jan 24, 2023

2.9k points

Email me at this address if a comment is added after mine:Email me if a comment is added after mine

Privacy: Your email address will only be used for sending these notifications.

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

1.6m questions

2.0m answers