Answer
$x=10$
Work Step by Step
From the definition of the logarithmic function on page 456, we know that $y=log_{b}x$ is equivalent to $b^{y}=x$ (for $x\gt0$, $b\gt0$, and $b\ne1$).
Therefore, $log_{3}(x-1)=2$ is equivalent to $3^{2}=(x-1)$ in logarithmic form.
We know that $3^{2}=9$, so we can set $x-1=9$.
Add 1 to both sides.
$x=10$
