What is the inverse of f(x)=20-20e^{-ln(10)*x} ?

The inverse of f(x)=20-20e^{-ln(10)*x} is -(ln(-\frac{x-20)/(20))}{ln(10)}

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inverse of f(x)=20-20e^{-ln(10)*x}

inverse

f (x) = 20 - 20 e^{- l n (10) \cdot x}

- \frac{ln ( - \frac{x - 20}{20} )}{ln ( 10 )}

Solution steps

y = 20 - 20 e^{- l n (10) x}

Replace

x

with

y

x = 20 - 20 e^{- l n (10) y}

Solve for

y, x = 20 - 20 e^{- l n (10) \cdot y}

- \frac{ln ( - \frac{x - 20}{20} )}{ln ( 10 )}

f (x) = 4 (x + 3)^{2}

f (x) = \frac{( 3 - 2 x )}{3 x + b}

f (x) = lo g_{10} (5 x)

g (x) = x^{3} - 4

f (x) = \frac{2 x - 3}{4 x - 1}

What is the inverse of f(x)=20-20e^{-ln(10)*x} ?
The inverse of f(x)=20-20e^{-ln(10)*x} is -(ln(-\frac{x-20)/(20))}{ln(10)}