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Popular >

inverse of e^{x/5}

Solution

inverse

e^{\frac{x}{5}}

Solution

5 ln (x)

Solution steps

y = e^{\frac{x}{5}}

Replace

x

with

y

x = e^{\frac{y}{5}}

Solve for

y, x = e^{\frac{y}{5}}

5 ln (x)

Popular Examples

critical f(x)=5+1/x+1/(x^2)critical points

f (x) = 5 + \frac{1}{x} + \frac{1}{x ^{2}}

domain of f(x)= 1/(sqrt(4x-3))domain

f (x) = \frac{1}{4 x - 3}

critical csc(x)critical points

csc (x)

domain of f(x)=16-x^2 domain

f (x) = 16 - x^{2}

13, - 11

Frequently Asked Questions (FAQ)

What is the inverse of e^{x/5} ?
The inverse of e^{x/5} is 5ln(x)