Simplify/Condense log of 2- log of 8

$\log (2) - \log (8)$

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

$\log (\frac{2}{8})$

Cancel the common factor of $2$ and $8$ .

Factor $2$ out of $2$ .

$\log (\frac{2 (1)}{8})$

Cancel the common factors.

Factor $2$ out of $8$ .

$\log (\frac{2 \cdot 1}{2 \cdot 4})$

Cancel the common factor.

$\log (\frac{2 \cdot 1}{2 \cdot 4})$

Rewrite the expression.

$\log (\frac{1}{4})$

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{1}{4})$

Decimal Form:

$- 0.60205999 \dots$