Precalculus Examples

$\log (80)$

Step 1

Rewrite $\log (80)$ as $\log (2^{4} \cdot 5)$ .

$\log (2^{4} \cdot 5)$

Step 2

Rewrite $\log (2^{4} \cdot 5)$ as $\log (2^{4}) + \log (5)$ .

$\log (2^{4}) + \log (5)$

Step 3

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

$4 \log (2) + \log (5)$