What is the inverse of f(x)=1.67*e^{0.2x} ?

The inverse of f(x)=1.67*e^{0.2x} is (ln(\frac{x*100)/(167))}{0.2}

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inverse of f(x)=1.67*e^{0.2x}

inverse

f (x) = 1.67 \cdot e^{0.2 x}

\frac{ln ( \frac{x \cdot 100}{167} )}{0.2}

Solution steps

y = 1.67 e^{0.2 x}

Replace

x

with

y

x = 1.67 e^{0.2 y}

Solve for

y, x = 1.67 \cdot e^{0.2 y}

\frac{ln ( \frac{x \cdot 100}{167} )}{0.2}

What is the inverse of f(x)=1.67*e^{0.2x} ?
The inverse of f(x)=1.67*e^{0.2x} is (ln(\frac{x*100)/(167))}{0.2}