Precalculus Examples

$\frac{1}{3} \cdot \log_{6} (a - 2 \log_{6} (b) + 5 \log_{6} (c))$

Step 1

Simplify each term.

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Step 1.1

Simplify $- 2 \log_{6} (b)$ by moving $2$ inside the logarithm.

$\frac{1}{3} \cdot \log_{6} (a - \log_{6} (b^{2}) + 5 \log_{6} (c))$

Step 1.2

Simplify $5 \log_{6} (c)$ by moving $5$ inside the logarithm.

$\frac{1}{3} \cdot \log_{6} (a - \log_{6} (b^{2}) + \log_{6} (c^{5}))$

Step 2

Simplify $\frac{1}{3} \log_{6} (a - \log_{6} (b^{2}) + \log_{6} (c^{5}))$ by moving $\frac{1}{3}$ inside the logarithm.

$\log_{6} ({(a - \log_{6} (b^{2}) + \log_{6} (c^{5}))}^{\frac{1}{3}})$