Simplify/Condense log of 7-2 log of 12

$\log (7) - 2 \log (12)$

Step 1

Simplify each term.

Simplify $- 2 \log (12)$ by moving $2$ inside the logarithm.

$\log (7) - \log (12^{2})$

Raise $12$ to the power of $2$ .

$\log (7) - \log (144)$

Step 2

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

$\log (\frac{7}{144})$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\log (\frac{7}{144})$

Decimal Form:

$- 1.31326445 \dots$