Precalculus Examples

${(\frac{8}{27})}^{\frac{2}{3}} = \frac{4}{9}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{8}{27})$ of the right side $(\frac{4}{9})$ equals the exponent $(\frac{2}{3})$ .

$\log_{\frac{8}{27}} (\frac{4}{9}) = \frac{2}{3}$