What is 1/3 (log_{3}(x^2y)-2) ?

The solution to 1/3 (log_{3}(x^2y)-2) is (2log_{3}(x)+log_{3}(y)-2)/3

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simplify 1/3 (log_{3}(x^2y)-2)

simplify

\frac{1}{3} (lo g_{3} (x^{2} y) - 2)

\frac{2 lo g _{3} ( x ) + lo g _{3} ( y ) - 2}{3}

Solution steps

\frac{1}{3} (lo g_{3} (x^{2} y) - 2)

Simplify

lo g_{3} (x^{2} y) : 2 lo g_{3} (x) + lo g_{3} (y)

= \frac{1}{3} (2 lo g_{3} (x) + lo g_{3} (y) - 2)

Expand

\frac{1}{3} (2 lo g_{3} (x) + lo g_{3} (y) - 2) : \frac{2 lo g _{3} ( x ) + lo g _{3} ( y ) - 2}{3}

= \frac{2 lo g _{3} ( x ) + lo g _{3} ( y ) - 2}{3}

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What is 1/3 (log_{3}(x^2y)-2) ?
The solution to 1/3 (log_{3}(x^2y)-2) is (2log_{3}(x)+log_{3}(y)-2)/3