Simplify/Condense 5 log of 3+ log of 4

$5 \log (3) + \log (4)$

Simplify each term.

Simplify $5 \log (3)$ by moving $5$ inside the logarithm.

$\log (3^{5}) + \log (4)$

Raise $3$ to the power of $5$ .

$\log (243) + \log (4)$

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (243 \cdot 4)$

Multiply $243$ by $4$ .

$\log (972)$

The result can be shown in multiple forms.

Exact Form:

$\log (972)$

Decimal Form:

$2.98766626 \dots$