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Popular >

simplify log_{b}(sqrt(xy))

Solution

simplify

lo g_{b} (x y)

Solution

\frac{1}{2} lo g_{b} (x y)

Solution steps

lo g_{b} (x y)

Rewrite as

= lo g_{b} ((x y)^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} lo g_{b} (x y)

Popular Examples

\frac{80}{7}

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2 (1 - 3 x) + 4 x - 5

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(a^{\frac{2}{3}})^{2}

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\frac{30}{50}

Frequently Asked Questions (FAQ)

What is log_{b}(sqrt(xy)) ?
The solution to log_{b}(sqrt(xy)) is 1/2 log_{b}(xy)