Precalculus Examples

$\log_{7} (x) + \log_{7} (y) + 3 \log_{7} (z)$

Step 1

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

$\log_{7} (x y) + 3 \log_{7} (z)$

Step 2

Simplify $3 \log_{7} (z)$ by moving $3$ inside the logarithm.

$\log_{7} (x y) + \log_{7} (z^{3})$

Step 3

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

$\log_{7} (x y z^{3})$