Calculus Examples

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

Step 1

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

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