What is the inverse of f(x)=30.931*e^{0.0272x} ?

The inverse of f(x)=30.931*e^{0.0272x} is (ln(\frac{x*1000)/(30931))}{0.0272}

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inverse of f(x)=30.931*e^{0.0272x}

inverse

f (x) = 30.931 \cdot e^{0.0272 x}

\frac{ln ( \frac{x \cdot 1000}{30931} )}{0.0272}

Solution steps

y = 30.931 e^{0.0272 x}

Replace

x

with

y

x = 30.931 e^{0.0272 y}

Solve for

y, x = 30.931 \cdot e^{0.0272 y}

\frac{ln ( \frac{x \cdot 1000}{30931} )}{0.0272}

f (x) = \frac{4 - x}{x - 10}

f (x) = 6 x + 8 - 5, x \geq - 8

y = 6 (x^{- \frac{1}{4}})

f (x) = \frac{5 x - 1}{4 x + 7}

f (x) = \frac{8}{y + 3}

What is the inverse of f(x)=30.931*e^{0.0272x} ?
The inverse of f(x)=30.931*e^{0.0272x} is (ln(\frac{x*1000)/(30931))}{0.0272}