Precalculus Examples

${(25)}^{x} = \frac{1}{5}$

Step 1

Reduce by cancelling the common factors.

${(25)}^{x} = \frac{1}{5}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(25)$ of the right side $(\frac{1}{5})$ equals the exponent $(x)$ .

$\log_{25} (\frac{1}{5}) = x$