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Popular >

simplify e^{ln(x)-ln(y)}

Solution

simplify

e^{l n (x) - l n (y)}

Solution

\frac{x}{y}

Solution steps

e^{l n (x) - l n (y)}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{l n (x)} e^{- l n (y)}

Simplify

e^{l n (x)} : x

= x e^{- l n (y)}

Simplify

e^{- l n (y)} : y^{- 1}

= x y^{- 1}

Simplify

= \frac{x}{y}

Popular Examples

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\frac{w ^{12}}{w ^{18}}

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(\frac{a}{b})^{4}

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lo g_{9} (9^{3})

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z - \frac{4}{4} + 8

simplify (x/5)/5 simplify

\frac{\frac{x}{5}}{5}

Frequently Asked Questions (FAQ)

What is e^{ln(x)-ln(y)} ?
The solution to e^{ln(x)-ln(y)} is x/y