Trigonometry Examples

$\log_{8} (64 x^{2})$

Step 1

Rewrite $\log_{8} (64 x^{2})$ as $\log_{8} (64) + \log_{8} (x^{2})$ .

$\log_{8} (64) + \log_{8} (x^{2})$

Step 2

Expand $\log_{8} (x^{2})$ by moving $2$ outside the logarithm.

$\log_{8} (64) + 2 \log_{8} (x)$

Step 3

Logarithm base $8$ of $64$ is $2$ .

$2 + 2 \log_{8} (x)$