Precalculus Examples

$5^{2 x} = 64$

Step 1

Reduce by cancelling the common factors.

$5^{2 x} = 64$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(5)$ of the right side $(64)$ equals the exponent $(2 x)$ .

$\log_{5} (64) = 2 x$