Question

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

Answer 1

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.