Precalculus Examples

$6^{2 x} = 25$

Step 1

Reduce by cancelling the common factors.

$6^{2 x} = 25$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(6)$ of the right side $(25)$ equals the exponent $(2 x)$ .

$\log_{6} (25) = 2 x$