What is the inverse of f(x)=407*e^{0.0000128*x} ?

The inverse of f(x)=407*e^{0.0000128*x} is (ln(x/(407)))/(0.0000128)

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inverse of f(x)=407e^{0.0000128x}

inverse

f (x) = 407 \cdot e^{0.0000128 \cdot x}

\frac{ln ( \frac{x}{407} )}{0.0000128}

Solution steps

y = 407 e^{0.0000128 x}

Replace

x

with

y

x = 407 e^{0.0000128 y}

Solve for

y, x = 407 \cdot e^{0.0000128 \cdot y}

\frac{ln ( \frac{x}{407} )}{0.0000128}

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

f (x) = \frac{x + 5}{x + 8}

f (x) = \frac{3 x - 7}{x + 9}

f (x) = 2 - 4 x

f (x) = 0.05 x + 25

What is the inverse of f(x)=407*e^{0.0000128*x} ?
The inverse of f(x)=407*e^{0.0000128*x} is (ln(x/(407)))/(0.0000128)