Precalculus Examples

$\log_{4} (9^{8})$

Step 1

Expand $\log_{4} (9^{8})$ by moving $8$ outside the logarithm.

$8 \log_{4} (9)$

Step 2

Rewrite $\log_{4} (9)$ as $\log_{4} (3^{2})$ .

$8 \log_{4} (3^{2})$

Step 3

Expand $\log_{4} (3^{2})$ by moving $2$ outside the logarithm.

$8 (2 \log_{4} (3))$

Step 4

Multiply $2$ by $8$ .

$16 \log_{4} (3)$