Precalculus Examples

${(\frac{3}{2})}^{- 3} = \frac{8}{27}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{3}{2})$ of the right side $(\frac{8}{27})$ equals the exponent $(- 3)$ .

$\log_{\frac{3}{2}} (\frac{8}{27}) = - 3$