Precalculus Examples

$\log_{8} (a) + \log_{8} (b) + 3 \log_{8} (c)$

Step 1

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

$\log_{8} (a b) + 3 \log_{8} (c)$

Step 2

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

$\log_{8} (a b) + \log_{8} (c^{3})$

Step 3

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

$\log_{8} (a b c^{3})$