Write as a Single Logarithm 2* log of 6- log of 9

$2 \cdot \log (6) - \log (9)$

Step 1

Simplify each term.

Simplify $2 \log (6)$ by moving $2$ inside the logarithm.

$\log (6^{2}) - \log (9)$

Raise $6$ to the power of $2$ .

$\log (36) - \log (9)$

Step 2

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

$\log (\frac{36}{9})$

Step 3

Divide $36$ by $9$ .

$\log (4)$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\log (4)$

Decimal Form:

$0.60205999 \dots$