Precalculus Examples

$\log_{6} (3 \cdot 2 \cdot 5^{6})$

Step 1

Rewrite $\log_{6} (3 \cdot 2 \cdot 5^{6})$ as $\log_{6} (3 \cdot 2) + \log_{6} (5^{6})$ .

$\log_{6} (3 \cdot 2) + \log_{6} (5^{6})$

Step 2

Rewrite $\log_{6} (3 \cdot 2)$ as $\log_{6} (3) + \log_{6} (2)$ .

$\log_{6} (3) + \log_{6} (2) + \log_{6} (5^{6})$

Step 3

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

$\log_{6} (3) + \log_{6} (2) + 6 \log_{6} (5)$