What is the inverse of f(x)=-21/41 ln(4100x-20601) ?

The inverse of f(x)=-21/41 ln(4100x-20601) is (e^{-\frac{41x)/(21)}+20601}{4100}

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inverse of f(x)=-21/41 ln(4100x-20601)

inverse

f (x) = - \frac{21}{41} ln (4100 x - 20601)

\frac{e ^{- \frac{41 x}{21}} + 20601}{4100}

Solution steps

y = - \frac{21}{41} ln (4100 x - 20601)

Replace

x

with

y

x = - \frac{21}{41} ln (4100 y - 20601)

Solve for

y, x = - \frac{21}{41} ln (4100 y - 20601)

\frac{e ^{- \frac{41 x}{21}} + 20601}{4100}

What is the inverse of f(x)=-21/41 ln(4100x-20601) ?
The inverse of f(x)=-21/41 ln(4100x-20601) is (e^{-\frac{41x)/(21)}+20601}{4100}