Precalculus Examples

$25^{- \frac{1}{2}} = \frac{1}{5}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(25)$ of the right side $(\frac{1}{5})$ equals the exponent $(- \frac{1}{2})$ .

$\log_{25} (\frac{1}{5}) = - \frac{1}{2}$