Precalculus Examples

$\log_{6} (50)$

Step 1

Rewrite $\log_{6} (50)$ as $\log_{6} (2 \cdot 5^{2})$ .

$\log_{6} (2 \cdot 5^{2})$

Step 2

Rewrite $\log_{6} (2 \cdot 5^{2})$ as $\log_{6} (2) + \log_{6} (5^{2})$ .

$\log_{6} (2) + \log_{6} (5^{2})$

Step 3

Expand $\log_{6} (5^{2})$ by moving $2$ outside the logarithm.

$\log_{6} (2) + 2 \log_{6} (5)$