Simplify/Condense log base 4 of 12+ log base 4 of 7

$\log_{4} (12) + \log_{4} (7)$

Step 1

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

$\log_{4} (12 \cdot 7)$

Step 2

Multiply $12$ by $7$ .

$\log_{4} (84)$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log_{4} (84)$

Decimal Form:

$3.19615871 \dots$