Algebra Examples

$\log_{4} (\frac{8}{x^{2}})$

Step 1

Rewrite $\log_{4} (\frac{8}{x^{2}})$ as $\log_{4} (8) - \log_{4} (x^{2})$ .

$\log_{4} (8) - \log_{4} (x^{2})$

Step 2

Expand $\log_{4} (x^{2})$ by moving $2$ outside the logarithm.

$\log_{4} (8) - (2 \log_{4} (x))$

Step 3

Logarithm base $4$ of $8$ is $\frac{3}{2}$ .

$\frac{3}{2} - (2 \log_{4} (x))$

Step 4

Multiply $2$ by $- 1$ .

$\frac{3}{2} - 2 \log_{4} (x)$