Precalculus Examples

$\log_{4} (7) \cdot \log_{7} (16)$

Step 1

Rewrite $\log_{7} (16)$ as $\log_{7} (2^{4})$ .

$\log_{4} (7) \cdot \log_{7} (2^{4})$

Step 2

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

$\log_{4} (7) \cdot (4 \log_{7} (2))$

Step 3

Move $4$ to the left of $\log_{4} (7)$ .

$4 \log_{4} (7) \log_{7} (2)$