What is the inverse of-(2)^{-14/25 (x-21)}+25 ?

The inverse of-(2)^{-14/25 (x-21)}+25 is -(25ln(25-x))/(14ln(2))+21

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inverse of-(2)^{-14/25 (x-21)}+25

inverse

- (2)^{- \frac{14}{25} (x - 21)} + 25

- \frac{25 ln ( 25 - x )}{14 ln ( 2 )} + 21

Solution steps

y = - 2^{- \frac{14}{25} (x - 21)} + 25

Replace

x

with

y

x = - 2^{- \frac{14}{25} (y - 21)} + 25

Solve for

y, x = - 2^{- \frac{14}{25} (y - 21)} + 25

- \frac{25 ln ( 25 - x )}{14 ln ( 2 )} + 21

What is the inverse of-(2)^{-14/25 (x-21)}+25 ?
The inverse of-(2)^{-14/25 (x-21)}+25 is -(25ln(25-x))/(14ln(2))+21