Simplify/Condense log base 7 of 13+ log base 7 of 10

$\log_{7} (13) + \log_{7} (10)$

Step 1

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

$\log_{7} (13 \cdot 10)$

Step 2

Multiply $13$ by $10$ .

$\log_{7} (130)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{7} (130)$

Decimal Form:

$2.50141788 \dots$