Write as a Single Logarithm log base 3 of 13+ log base 3 of 3

$\log_{3} (13) + \log_{3} (3)$

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

$\log_{3} (13 \cdot 3)$

Multiply $13$ by $3$ .

$\log_{3} (39)$

The result can be shown in multiple forms.

Exact Form:

$\log_{3} (39)$

Decimal Form:

$3.33471751 \dots$