Trigonometry Examples

$\log_{6} (24)$

Step 1

Rewrite $\log_{6} (24)$ as $\log_{6} (2^{3} \cdot 3)$ .

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

Step 2

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

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

Step 3

Expand $\log_{6} (2^{3})$ by moving $3$ outside the logarithm.

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