Precalculus Examples

$\log ({0.0001}^{x})$

Step 1

Expand $\log ({0.0001}^{x})$ by moving $x$ outside the logarithm.

$x \log (0.0001)$

Step 2

Log base $10$ of $0.0001$ is approximately $- 4$ .

$x \cdot - 4$

Step 3

Move $- 4$ to the left of $x$ .

$- 4 x$