Precalculus Examples

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

Step 1

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

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

Step 2

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

$2 \log (x) - \log (4)$

Step 3

Rewrite $\log (4)$ as $\log (2^{2})$ .

$2 \log (x) - \log (2^{2})$

Step 4

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

$2 \log (x) - (2 \log (2))$

Step 5

Multiply $2$ by $- 1$ .

$2 \log (x) - 2 \log (2)$