Precalculus Examples

$- 9 \log_{b} (x) - 2 \log_{b} (y) + \frac{1}{4} \cdot \log_{b} (z)$

Step 1

Simplify $- 9 \log_{b} (x)$ by moving $9$ inside the logarithm.

$- \log_{b} (x^{9}) - 2 \log_{b} (y) + \frac{1}{4} \cdot \log_{b} (z)$

Step 2

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

$- \log_{b} (x^{9}) - \log_{b} (y^{2}) + \frac{1}{4} \cdot \log_{b} (z)$

Step 3

Simplify $\frac{1}{4} \log_{b} (z)$ by moving $\frac{1}{4}$ inside the logarithm.

$- \log_{b} (x^{9}) - \log_{b} (y^{2}) + \log_{b} (z^{\frac{1}{4}})$