Algebra Examples

$6 \log_{8} (x) - 3 \log_{8} (y)$

Step 1

Simplify each term.

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Simplify $6 \log_{8} (x)$ by moving $6$ inside the logarithm.

$\log_{8} (x^{6}) - 3 \log_{8} (y)$

Simplify $- 3 \log_{8} (y)$ by moving $3$ inside the logarithm.

$\log_{8} (x^{6}) - \log_{8} (y^{3})$

Step 2

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

$\log_{8} (\frac{x^{6}}{y^{3}})$