What is the inverse of 30-30*e^{-ln(10)*t} ?

The inverse of 30-30*e^{-ln(10)*t} is -(ln(-\frac{t-30)/(30))}{ln(10)}

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inverse of 30-30e^{-ln(10)t}

inverse

30 - 30 \cdot e^{- l n (10) \cdot t}

- \frac{ln ( - \frac{t - 30}{30} )}{ln ( 10 )}

Solution steps

y = 30 - 30 e^{- l n (10) t}

Replace

t

with

y

t = 30 - 30 e^{- l n (10) y}

Solve for

y, t = 30 - 30 \cdot e^{- l n (10) \cdot y}

- \frac{ln ( - \frac{t - 30}{30} )}{ln ( 10 )}

f (x) = \frac{3}{x} - 6

f (x) = \frac{3 x + 7}{5}

8 - 5 - x

y = \frac{2}{x + 5}

f (x) = \frac{4}{5} x

What is the inverse of 30-30*e^{-ln(10)*t} ?
The inverse of 30-30*e^{-ln(10)*t} is -(ln(-\frac{t-30)/(30))}{ln(10)}