3.86: Straight-line graph for $y=Ax^{b}$

Variables $x$ and $y$ satisfy $y=Ax^{b}$. When $\lg y$ is plotted against $\lg x$, the line passes through $(0.61,0.57)$ and $(5.36,4.37)$.

Find $A$ and $b$.

Find $y$ when $x=3$.

Find $x$ when $y=3$.