Divide both sides by 3:

`log(2x - 1) = 1/3`

So

`10^(1"/"3)=2x-1` `x=1/2(10^(1"/"3)+1)` `=1.577217345`

`10^(1"/"3)=2x-1`

`x=1/2(10^(1"/"3)+1)`

`=1.577217345`

Always check your answers with your calculator!