Precalculus Examples

$\frac{1}{2} \cdot (\log_{6} (s) + \log_{6} (t))$

Step 1

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

$\frac{1}{2} \cdot \log_{6} (s t)$

Step 2

Simplify $\frac{1}{2} \log_{6} (s t)$ by moving $\frac{1}{2}$ inside the logarithm.

$\log_{6} ({(s t)}^{\frac{1}{2}})$

Step 3

Apply the product rule to $s t$ .

$\log_{6} (s^{\frac{1}{2}} t^{\frac{1}{2}})$