Precalculus Examples

$\log (M) + \frac{1}{2} \cdot \log (N)$

Step 1

Simplify $\frac{1}{2} \log (N)$ by moving $\frac{1}{2}$ inside the logarithm.

$\log (M) + \log (N^{\frac{1}{2}})$

Step 2

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

$\log (M N^{\frac{1}{2}})$