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Popular >

simplify log_{6}(x^4y^6)

Solution

simplify

lo g_{6} (x^{4} y^{6})

Solution

4 lo g_{6} (x) + 6 lo g_{6} (y)

Solution steps

lo g_{6} (x^{4} y^{6})

Apply log rule:

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

lo g_{6} (x^{4} y^{6}) = lo g_{6} (x^{4}) + lo g_{6} (y^{6})

= lo g_{6} (x^{4}) + lo g_{6} (y^{6})

lo g_{6} (x^{4}) = 4 lo g_{6} (x)

lo g_{6} (y^{6}) = 6 lo g_{6} (y)

= 4 lo g_{6} (x) + 6 lo g_{6} (y)

Popular Examples

expand ln(x^2y)expand

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\frac{2}{3} lo g_{2} (\frac{3}{2}) + \frac{1}{3} lo g_{2} (3)

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lo g_{35} (\frac{20000}{34}) + 1

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- lo g_{10} (2.9 \cdot 1 0^{- 8})

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lo g_{3} (\frac{x}{27})

Frequently Asked Questions (FAQ)

What is log_{6}(x^4y^6) ?
The solution to log_{6}(x^4y^6) is 4log_{6}(x)+6log_{6}(y)