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Popular >

inverse of f(x)=e^{x/5}

Solution

inverse

f (x) = 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

intercepts of f(x)=(x^2-5)(2x^2-5)intercepts

f (x) = (x^{2} - 5) (2 x^{2} - 5)

extreme f(x)=x^3-75x+5 extreme points

f (x) = x^{3} - 75 x + 5

inverse of f(x)=(3x+2)/(x-5)inverse

f (x) = \frac{3 x + 2}{x - 5}

inverse of f(x)= x/2+5 inverse

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

parity f(x)=-2x^5+7x^3 parity

f (x) = - 2 x^{5} + 7 x^{3}

Frequently Asked Questions (FAQ)

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