What is the inverse of (2-ln(x))/(1+ln(x)) ?

The inverse of (2-ln(x))/(1+ln(x)) is e^{(2-x)/(x+1)}

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inverse of (2-ln(x))/(1+ln(x))

inverse

\frac{2 - ln ( x )}{1 + ln ( x )}

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

Solution steps

y = \frac{2 - ln ( x )}{1 + ln ( x )}

Replace

x

with

y

x = \frac{2 - ln ( y )}{1 + ln ( y )}

Solve for

y, x = \frac{2 - ln ( y )}{1 + ln ( y )}

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

\frac{5}{3 x - 1}

e^{2 x - 3}

f (x) = \frac{( 9 x - 13 )}{5} - 7

f (x) = \frac{4 - 3 x}{5 x - 4}

f (x) = e^{2 x - x^{2}}

What is the inverse of (2-ln(x))/(1+ln(x)) ?
The inverse of (2-ln(x))/(1+ln(x)) is e^{(2-x)/(x+1)}