Precalculus Examples

$2 \log_{4} (x) + \log_{4} (y)$

Step 1

Simplify $2 \log_{4} (x)$ by moving $2$ inside the logarithm.

$\log_{4} (x^{2}) + \log_{4} (y)$

Step 2

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

$\log_{4} (x^{2} y)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$