Precalculus Examples

$\log_{6} (36 + 12) + \log_{6} (36 - 12)$

Step 1

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

$\log_{6} ((36 + 12) (36 - 12))$

Step 2

Add $36$ and $12$ .

$\log_{6} (48 (36 - 12))$

Step 3

Subtract $12$ from $36$ .

$\log_{6} (48 \cdot 24)$

Step 4

Multiply $48$ by $24$ .

$\log_{6} (1152)$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\log_{6} (1152)$

Decimal Form:

$3.93426403 \dots$