Precalculus Examples

$\frac{1}{3} \cdot (\log_{b} (x + 2) \log_{b} (y - 3) \log_{b} (x))$

Step 1

Multiply $\frac{1}{3} (\log_{b} (x + 2) \log_{b} (y - 3) \log_{b} (x))$ .

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Step 1.1

Reorder $\log_{b} (x + 2)$ and $\frac{1}{3}$ .

$\frac{1}{3} \log_{b} (x + 2) (\log_{b} (y - 3) \log_{b} (x))$

Step 1.2

Simplify $\frac{1}{3} \log_{b} (x + 2)$ by moving $\frac{1}{3}$ inside the logarithm.

$\log_{b} ({(x + 2)}^{\frac{1}{3}}) (\log_{b} (y - 3) \log_{b} (x))$

Step 2

Reorder factors in $\log_{b} ({(x + 2)}^{\frac{1}{3}}) (\log_{b} (y - 3) \log_{b} (x))$ .

$\log_{b} ({(x + 2)}^{\frac{1}{3}}) \log_{b} (y - 3) \log_{b} (x)$