Simplify/Condense log base 5 of 4+ log base 5 of 3

$\log_{5} (4) + \log_{5} (3)$

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

$\log_{5} (4 \cdot 3)$

Multiply $4$ by $3$ .

$\log_{5} (12)$

The result can be shown in multiple forms.

Exact Form:

$\log_{5} (12)$

Decimal Form:

$1.54395931 \dots$