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Popular >

simplify e^{-ln(1/x+1)}

Solution

simplify

e^{- l n (\frac{1}{x} + 1)}

Solution

\frac{x}{x + 1}

Solution steps

e^{- l n (\frac{1}{x} + 1)}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{l n (\frac{1}{x} + 1)}}

e^{l n (\frac{1}{x} + 1)} = \frac{1 + x}{x}

= \frac{1}{\frac{1 + x}{x}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{x}{1 + x}

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Frequently Asked Questions (FAQ)

What is e^{-ln(1/x+1)} ?
The solution to e^{-ln(1/x+1)} is x/(x+1)