Precalculus Examples

$\log_{b} (48)$

Step 1

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

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

Step 2

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

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

Step 3

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

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