Simplify/Condense 2 log of 4- log of 2

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

Step 1

Simplify each term.

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

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

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

$\log (16) - \log (2)$

Step 2

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

$\log (\frac{16}{2})$

Step 3

Divide $16$ by $2$ .

$\log (8)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (8)$

Decimal Form:

$0.90308998 \dots$