Precalculus Examples

$3 \log (x) + \log (1) - \log (z - 4)$

Step 1

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

$3 \log (x) + \log (\frac{1}{z - 4})$

Step 2

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

$\log (x^{3}) + \log (\frac{1}{z - 4})$

Step 3

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (x^{3} \frac{1}{z - 4})$

Step 4

Combine $x^{3}$ and $\frac{1}{z - 4}$ .

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