Question

Determine y for the following equation: log(9/8)=y

Answer 1

Log(x) can mean log to the base ten (especially in highschool) or natural log (in college).

So solving for y in log(9/8)=y is just an evaluation of log(9/8).

Either
$y=log_{10}(9/8)=0.05115$ to 5 decimals, or
$y=log_{e}(9/8)=0.11778$ to 5 decimals
depending the context of the question.