Precalculus Examples

${(\frac{4}{5})}^{7} = \frac{16384}{78125}$

Step 1

Convert the exponential equation to a logarithmic equation using the logarithm base $(\frac{4}{5})$ of the right side $(\frac{16384}{78125})$ equals the exponent $(7)$ .

$\log_{\frac{4}{5}} (\frac{16384}{78125}) = 7$