Algebra Examples

$8 \log (x - 3) + \log (1) - \log (y)$

Step 1

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

$8 \log (x - 3) + \log (\frac{1}{y})$

Step 2

Simplify $8 \log (x - 3)$ by moving $8$ inside the logarithm.

$\log ({(x - 3)}^{8}) + \log (\frac{1}{y})$

Step 3

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

$\log ({(x - 3)}^{8} \frac{1}{y})$

Step 4

Combine ${(x - 3)}^{8}$ and $\frac{1}{y}$ .

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