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Popular >

simplify e^{-ln(x/2+1)}

Solution

simplify

e^{- l n (\frac{x}{2} + 1)}

Solution

\frac{2}{x + 2}

Solution steps

e^{- l n (\frac{x}{2} + 1)}

Apply exponent rule:

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

= \frac{1}{e ^{l n (\frac{x}{2} + 1)}}

e^{l n (\frac{x}{2} + 1)} = \frac{x + 2}{2}

= \frac{1}{\frac{x + 2}{2}}

Apply the fraction rule:

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

= \frac{2}{x + 2}

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Frequently Asked Questions (FAQ)

What is e^{-ln(x/2+1)} ?
The solution to e^{-ln(x/2+1)} is 2/(x+2)