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

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

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inverse of y=20-20e^{-ln(10)*t}

inverse

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

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

Solution steps

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

Replace

t

with

y

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

Solve for

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

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

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