Precalculus Examples

$\log_{4} ({(\frac{1}{64})}^{x})$

Step 1

Expand $\log_{4} ({(\frac{1}{64})}^{x})$ by moving $x$ outside the logarithm.

$x \log_{4} (\frac{1}{64})$

Step 2

Logarithm base $4$ of $\frac{1}{64}$ is $- 3$ .

$x \cdot - 3$

Step 3

Move $- 3$ to the left of $x$ .

$- 3 x$