Precalculus Examples

$\log (8) - 3 \log (x) - \log (2)$

Step 1

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

$\log (\frac{8}{2}) - 3 \log (x)$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Divide $8$ by $2$ .

$\log (4) - 3 \log (x)$

Step 2.2

Simplify $- 3 \log (x)$ by moving $3$ inside the logarithm.

$\log (4) - \log (x^{3})$

Step 3

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

$\log (\frac{4}{x^{3}})$