Precalculus Examples

$2 + \log_{5} (48)$

Step 1

Rewrite $\log_{5} (48)$ as $\log_{5} (2^{4} \cdot 3)$ .

$2 + \log_{5} (2^{4} \cdot 3)$

Step 2

Rewrite $\log_{5} (2^{4} \cdot 3)$ as $\log_{5} (2^{4}) + \log_{5} (3)$ .

$2 + \log_{5} (2^{4}) + \log_{5} (3)$

Step 3

Expand $\log_{5} (2^{4})$ by moving $4$ outside the logarithm.

$2 + 4 \log_{5} (2) + \log_{5} (3)$