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Popular >

100=200e^{-0.06x}

Solution

100 = 200 e^{- 0.06 x}

Solution

x = \frac{ln ( 2 )}{0.06}

+1

Decimal Notation

x = 11.55245 \dots

Solution steps

100 = 200 e^{- 0.06 x}

Switch sides

200 e^{- 0.06 x} = 100

Divide both sides by

200

e^{- 0.06 x} = \frac{1}{2}

Apply exponent rules

- 0.06 x = ln (\frac{1}{2})

Solve

- 0.06 x = ln (\frac{1}{2}) : x = \frac{ln ( 2 )}{0.06}

x = \frac{ln ( 2 )}{0.06}

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x^{2} e^{- x} = x e^{- x}

7^{2-x}-49^{2-x}+42=0

7^{2 - x} - 4 9^{2 - x} + 42 = 0

- \frac{1}{81} = - 3^{x}

9^{-x+5}=27^{6x-10}

9^{- x + 5} = 2 7^{6 x - 10}

e^{x + 2} = 5

Frequently Asked Questions (FAQ)

What is the answer to 100=200e^{-0.06x} ?
The answer to 100=200e^{-0.06x} is x=(ln(2))/(0.06)