Simplify/Condense log base 7 of 9+ log base 7 of 4

$\log_{7} (9) + \log_{7} (4)$

Step 1

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

$\log_{7} (9 \cdot 4)$

Step 2

Multiply $9$ by $4$ .

$\log_{7} (36)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{7} (36)$

Decimal Form:

$1.84156444 \dots$