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Popular >

inverse of e^{ax}

Solution

inverse

e^{a x}

Solution

\frac{ln ( x )}{a}

Solution steps

y = e^{a x}

Replace

x

with

y

x = e^{a y}

Solve for

y, x = e^{a y}

\frac{ln ( x )}{a}

Graph

Popular Examples

inverse of f(x)=7+sqrt(5x-9)inverse

f (x) = 7 + 5 x - 9

inverse of f(x)=sqrt(-x-3)+3 inverse

f (x) = - x - 3 + 3

inverse of (2^x+1)/(5-2^x)inverse

\frac{2 ^{x} + 1}{5 - 2 ^{x}}

inverse of f(x)=(-2x+3)/(4+2x)+3 inverse

f (x) = \frac{- 2 x + 3}{4 + 2 x} + 3

inverse of f(x)=sqrt(3-x)+4 inverse

f (x) = 3 - x + 4

Frequently Asked Questions (FAQ)

What is the inverse of e^{ax} ?
The inverse of e^{ax} is (ln(x))/a