Precalculus Examples

$\log ({(256)}^{4})$

Step 1

Expand $\log ({(256)}^{4})$ by moving $4$ outside the logarithm.

$4 \log (256)$

Step 2

Rewrite $\log (256)$ as $\log (2^{8})$ .

$4 \log (2^{8})$

Step 3

Expand $\log (2^{8})$ by moving $8$ outside the logarithm.

$4 (8 \log (2))$

Step 4

Multiply $8$ by $4$ .

$32 \log (2)$