Precalculus Examples

$\frac{1}{2} \cdot \log_{2} (x) - 8 \log_{2} (y - 5) \log_{2} (z)$

Step 1

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

$\log_{2} (x^{\frac{1}{2}}) - 8 \log_{2} (y - 5) \log_{2} (z)$

Step 2

Simplify $- 8 \log_{2} (y - 5)$ by moving $8$ inside the logarithm.

$\log_{2} (x^{\frac{1}{2}}) - \log_{2} ({(y - 5)}^{8}) \log_{2} (z)$