Precalculus Examples

${(\frac{9}{4})}^{- 0.5} = \frac{2}{3}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{9}{4})$ of the right side $(\frac{2}{3})$ equals the exponent $(- 0.5)$ .

$\log_{\frac{9}{4}} (\frac{2}{3}) = - 0.5$