Working with Logarithms

(a) If \(x=\log _{3}y\), then \(y=3^{x}\). For example, \(4=\log _{3}81\) is equivalent to \(81=3^{4}\).

(b) If \(x=\log _{5}y\), then \(y=5^{x}\). For example, \[ -1=\log _{5}\!\left(\dfrac{1}{5}\right) \hbox{ is equivalent to } \dfrac{1}{5}=5^{-1} \]