Precalculus Examples

$\log_{5} (a) + \log_{5} (b) + 6 \log_{5} (c)$

Step 1

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

$\log_{5} (a b) + 6 \log_{5} (c)$

Step 2

Simplify $6 \log_{5} (c)$ by moving $6$ inside the logarithm.

$\log_{5} (a b) + \log_{5} (c^{6})$

Step 3

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

$\log_{5} (a b c^{6})$