Precalculus Examples

$- 2 \log_{b} (x) - 6 \log_{b} (y) + \frac{1}{7} \log_{b} (z)$

Step 1

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

$- \log_{b} (x^{2}) - 6 \log_{b} (y) + \frac{1}{7} \cdot \log_{b} (z)$

Step 2

Simplify $- 6 \log_{b} (y)$ by moving $6$ inside the logarithm.

$- \log_{b} (x^{2}) - \log_{b} (y^{6}) + \frac{1}{7} \cdot \log_{b} (z)$

Step 3

Simplify $\frac{1}{7} \log_{b} (z)$ by moving $\frac{1}{7}$ inside the logarithm.

$- \log_{b} (x^{2}) - \log_{b} (y^{6}) + \log_{b} (z^{\frac{1}{7}})$