What is e^{-ln(x+sqrt(x^2+1))} ?

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

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

simplify

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

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

Solution steps

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

Apply exponent rule:

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

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

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

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

e^{- 0.606}

7.21 \cdot 1 0^{- 4}

p^{2} q^{2} (q^{2} + q - 5)

7.75 \cdot 1 0^{- 1}

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