Write as a Single Logarithm log of 80-2* log of 4

$\log (80) - 2 \cdot \log (4)$

Simplify each term.

Simplify $- 2 \log (4)$ by moving $2$ inside the logarithm.

$\log (80) - \log (4^{2})$

Raise $4$ to the power of $2$ .

$\log (80) - \log (16)$

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

$\log (\frac{80}{16})$

Divide $80$ by $16$ .

$\log (5)$

The result can be shown in multiple forms.

Exact Form:

$\log (5)$

Decimal Form:

$0.69897000 \dots$