Precalculus Examples

${(\frac{5}{2})}^{- 3} = \frac{8}{125}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{5}{2})$ of the right side $(\frac{8}{125})$ equals the exponent $(- 3)$ .

$\log_{\frac{5}{2}} (\frac{8}{125}) = - 3$