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Popular >

simplify 1/3 log_{3}(x^6)+1/6 log_{3}(x^6)-1/9 log_{3}(x)

Solution

simplify

\frac{1}{3} lo g_{3} (x^{6}) + \frac{1}{6} lo g_{3} (x^{6}) - \frac{1}{9} lo g_{3} (x)

Solution

3 lo g_{3} (x) - \frac{lo g _{3} ( x )}{9}

Solution steps

\frac{1}{3} lo g_{3} (x^{6}) + \frac{1}{6} lo g_{3} (x^{6}) - \frac{1}{9} lo g_{3} (x)

Factor out common term

lo g_{3} (x^{6})

= lo g_{3} (x^{6}) (\frac{1}{3} + \frac{1}{6}) - \frac{1}{9} lo g_{3} (x)

lo g_{3} (x^{6}) (\frac{1}{3} + \frac{1}{6}) = 3 lo g_{3} (x)

\frac{1}{9} lo g_{3} (x) = \frac{lo g _{3} ( x )}{9}

= 3 lo g_{3} (x) - \frac{lo g _{3} ( x )}{9}

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Frequently Asked Questions (FAQ)

What is 1/3 log_{3}(x^6)+1/6 log_{3}(x^6)-1/9 log_{3}(x) ?
The solution to 1/3 log_{3}(x^6)+1/6 log_{3}(x^6)-1/9 log_{3}(x) is 3log_{3}(x)-(log_{3}(x))/9