Precalculus Examples

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

Step 1

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

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