Precalculus Examples

$S o l v e \log_{7} (3) + \log_{7} (48)$

Step 1

Rewrite $\log_{7} (48)$ as $\log_{7} (2^{4} \cdot 3)$ .

$S o l v e \log_{7} (3) + \log_{7} (2^{4} \cdot 3)$

Step 2

Rewrite $\log_{7} (2^{4} \cdot 3)$ as $\log_{7} (2^{4}) + \log_{7} (3)$ .

$S o l v e \log_{7} (3) + \log_{7} (2^{4}) + \log_{7} (3)$

Step 3

Expand $\log_{7} (2^{4})$ by moving $4$ outside the logarithm.

$S o l v e \log_{7} (3) + 4 \log_{7} (2) + \log_{7} (3)$