Algebra Examples

${(\frac{2}{5})}^{- 2} = \frac{25}{4}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{2}{5})$ of the right side $(\frac{25}{4})$ equals the exponent $(- 2)$ .

$\log_{\frac{2}{5}} (\frac{25}{4}) = - 2$