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Popular >

simplify log_{3}(x^2y^5)

Solution

simplify

lo g_{3} (x^{2} y^{5})

Solution

2 lo g_{3} (x) + 5 lo g_{3} (y)

Solution steps

lo g_{3} (x^{2} y^{5})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{3} (x^{2} y^{5}) = lo g_{3} (x^{2}) + lo g_{3} (y^{5})

= lo g_{3} (x^{2}) + lo g_{3} (y^{5})

lo g_{3} (x^{2}) = 2 lo g_{3} (x)

lo g_{3} (y^{5}) = 5 lo g_{3} (y)

= 2 lo g_{3} (x) + 5 lo g_{3} (y)

Popular Examples

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\frac{π + 2}{2} ln (\frac{π}{4})

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simplify log_{e}(20000/7165)*12 simplify

lo g_{e} (\frac{20000}{7165}) \cdot 12

Frequently Asked Questions (FAQ)

What is log_{3}(x^2y^5) ?
The solution to log_{3}(x^2y^5) is 2log_{3}(x)+5log_{3}(y)