Algebra Examples

$\log_{6} (36 x^{2})$

Step 1

Rewrite $\log_{6} (36 x^{2})$ as $\log_{6} (36) + \log_{6} (x^{2})$ .

$\log_{6} (36) + \log_{6} (x^{2})$

Step 2

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

$\log_{6} (36) + 2 \log_{6} (x)$

Step 3

Logarithm base $6$ of $36$ is $2$ .

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