What is the inverse of f(x)=50e^{0.1x} ?

The inverse of f(x)=50e^{0.1x} is (ln(x/(50)))/(0.1)

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inverse of f(x)=50e^{0.1x}

inverse

f (x) = 50 e^{0.1 x}

\frac{ln ( \frac{x}{50} )}{0.1}

Solution steps

y = 50 e^{0.1 x}

Replace

x

with

y

x = 50 e^{0.1 y}

Solve for

y, x = 50 e^{0.1 y}

\frac{ln ( \frac{x}{50} )}{0.1}

\frac{x - 1}{x ^{2} - x - 6}

2^{x - 4}

f (a) = a

f (x) = x^{2} - 2 x - 1

f (x) = x^{4} - 4 x^{3} + 7

What is the inverse of f(x)=50e^{0.1x} ?
The inverse of f(x)=50e^{0.1x} is (ln(x/(50)))/(0.1)