Simplify/Condense log of 2- log of 6

$\log (2) - \log (6)$

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log (\frac{2}{6})$

Cancel the common factor of $2$ and $6$ .

Factor $2$ out of $2$ .

$\log (\frac{2 (1)}{6})$

Cancel the common factors.

Factor $2$ out of $6$ .

$\log (\frac{2 \cdot 1}{2 \cdot 3})$

Cancel the common factor.

$\log (\frac{2 \cdot 1}{2 \cdot 3})$

Rewrite the expression.

$\log (\frac{1}{3})$

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{1}{3})$

Decimal Form:

$- 0.47712125 \dots$