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Popular >

simplify log_{x}(x^2y)

Solution

simplify

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

Solution

2 + lo g_{x} (y)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a^{b}) = b

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

= 2 + lo g_{x} (y)

Popular Examples

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- \frac{3}{6} lo g_{10} (\frac{3}{6}) - \frac{3}{6} lo g_{10} (\frac{3}{6})

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ln (\frac{e ^{2}}{9})

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lo g_{10} (3 x) - lo g_{10} (x)

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ln (x e^{b x})

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ln (\frac{20}{7})

Frequently Asked Questions (FAQ)

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