What is the inverse of f(x)=100e^{0.013t} ?

The inverse of f(x)=100e^{0.013t} is (ln(t/(100)))/(0.013)

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inverse of f(x)=100e^{0.013t}

inverse

f (x) = 100 e^{0.013 t}

\frac{ln ( \frac{t}{100} )}{0.013}

Solution steps

x = 100 e^{0.013 t}

Replace

t

with

x

t = 100 e^{0.013 x}

Solve for

x, t = 100 e^{0.013 x}

\frac{ln ( \frac{t}{100} )}{0.013}

f (x) = - 2 x + 1 - 4

sin (0.5)

f (x) = - 10 x - 9

f (x) = 5

\frac{x + 7}{x - 3}

What is the inverse of f(x)=100e^{0.013t} ?
The inverse of f(x)=100e^{0.013t} is (ln(t/(100)))/(0.013)