Expand the Logarithmic Expression log of 40

$\log (40)$

Rewrite $\log (40)$ as $\log (2^{3} \cdot 5)$ .

$\log (2^{3} \cdot 5)$

Rewrite $\log (2^{3} \cdot 5)$ as $\log (2^{3}) + \log (5)$ .

$\log (2^{3}) + \log (5)$

Expand $\log (2^{3})$ by moving $3$ outside the logarithm.

$3 \log (2) + \log (5)$