What is e^{-(ln(x/(1+r)))} ?

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

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

simplify

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

\frac{r + 1}{x}

Solution steps

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

Apply exponent rule:

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

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

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

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

Apply the fraction rule:

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

= \frac{1 + r}{x}

1 0^{- 2022}

2.01 \cdot 1 0^{- 7}

2.01 \cdot 1 0^{- 5}

(11 x^{5}) (9 x^{11})