Precalculus Examples

$\log_{8} (u) + \log_{8} (v) + 2 \log_{8} (w)$

Step 1

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

$\log_{8} (u v) + 2 \log_{8} (w)$

Step 2

Simplify $2 \log_{8} (w)$ by moving $2$ inside the logarithm.

$\log_{8} (u v) + \log_{8} (w^{2})$

Step 3

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

$\log_{8} (u v w^{2})$