# How do you convert  log _4 (1/4) into exponential form?

Mar 11, 2016

By definition, $y = {\log}_{a} x \iff {a}^{y} = x$

Hence in this case, ${4}^{- 1} = \frac{1}{4}$ and hence ${\log}_{4} \left(\frac{1}{4}\right) = - 1$