Precalculus Examples

$\log_{b} (8) x y$

Step 1

Rewrite $\log_{b} (8)$ as $\log_{b} (2^{3})$ .

$\log_{b} (2^{3}) x y$

Step 2

Expand $\log_{b} (2^{3})$ by moving $3$ outside the logarithm.

$3 \log_{b} (2) x y$

Step 3

Reorder factors in $3 \log_{b} (2) x y$ .

$3 x y \log_{b} (2)$