A logarithmic equation can be solved using powers to undo the logarithm. $$\begin{array}{c}{\log }_b(x)=y\end{array}$$ In the equation above, the base of the logarithm is $b.$ Therefore, to isolate $x,$ both sides should be raised so they become the exponent of a power with base $b.$ $$\begin{array}{rl}{b}^{{\log }_b(x)}& =b^y\end{array}$$ Since exponents and logarithms are inverse operations, $x$ becomes isolated and the right-hand side can be evaluated. $$\begin{array}{cc}x& =b^y\end{array}$$