Precalculus Examples

$\log (x) + 7 \log (y)$

Step 1

Simplify $7 \log (y)$ by moving $7$ inside the logarithm.

$\log (x) + \log (y^{7})$

Step 2

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

$\log (x y^{7})$