Expand the Logarithmic Expression log of 4x

$\log (4 x)$

Rewrite $\log (4 x)$ as $\log (4) + \log (x)$ .

$\log (4) + \log (x)$

Simplify each term.

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

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

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

$2 \log (2) + \log (x)$