Precalculus Examples

$\log_{4} (s) + 7 \log_{4} (v) + \log_{4} (z)$

Step 1

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

$7 \log_{4} (v) + \log_{4} (s z)$

Step 2

Simplify $7 \log_{4} (v)$ by moving $7$ inside the logarithm.

$\log_{4} (v^{7}) + \log_{4} (s z)$

Step 3

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

$\log_{4} (v^{7} s z)$