Expand the Logarithmic Expression log base 2 of (x^2)/4

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

Step 1

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

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

Step 2

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

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

Step 3

Logarithm base $2$ of $4$ is $2$ .

$2 \log_{2} (x) - 1 \cdot 2$

Step 4

Multiply $- 1$ by $2$ .

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