What is the inverse of y=1500e^{-0.05x} ?

The inverse of y=1500e^{-0.05x} is -(ln(x/(1500)))/(0.05)

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inverse of y=1500e^{-0.05x}

inverse

y = 1500 e^{- 0.05 x}

- \frac{ln ( \frac{x}{1500} )}{0.05}

Solution steps

y = 1500 e^{- 0.05 x}

Replace

x

with

y

x = 1500 e^{- 0.05 y}

Solve for

y, x = 1500 e^{- 0.05 y}

- \frac{ln ( \frac{x}{1500} )}{0.05}

f (0) = \frac{1}{x}

f (x) = 3 x - π

3 2^{4 x - 5}

0.2 lo g_{7} (3 x + 2) - 9

f (x) = \frac{1}{2 x ^{2} + 1}

What is the inverse of y=1500e^{-0.05x} ?
The inverse of y=1500e^{-0.05x} is -(ln(x/(1500)))/(0.05)