Precalculus Examples

$12^{\frac{x}{6}} = 18$

Step 1

Reduce by cancelling the common factors.

$12^{\frac{x}{6}} = 18$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(12)$ of the right side $(18)$ equals the exponent $(\frac{x}{6})$ .

$\log_{12} (18) = \frac{x}{6}$