Precalculus Examples

${(\frac{5}{2})}^{- 2} = \frac{4}{25}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{5}{2})$ of the right side $(\frac{4}{25})$ equals the exponent $(- 2)$ .

$\log_{\frac{5}{2}} (\frac{4}{25}) = - 2$