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Popular >

12000=200e^{0.01t}

Solution

12000 = 200 e^{0.01 t}

Solution

t = \frac{ln ( 60 )}{0.01}

+1

Decimal Notation

t = 409.43445 \dots

Solution steps

12000 = 200 e^{0.01 t}

Switch sides

200 e^{0.01 t} = 12000

Divide both sides by

200

e^{0.01 t} = 60

Apply exponent rules

0.01 t = ln (60)

Solve

0.01 t = ln (60) : t = \frac{ln ( 60 )}{0.01}

t = \frac{ln ( 60 )}{0.01}

Popular Examples

4^{x} = 81

2^{x-2}=4^{2021}

2^{x - 2} = 4^{2021}

3^{x} + 3^{x + 1} = 36

3^{x} - 0.5 = 0

((1/16)^{-2})^3=4^{-x}

((\frac{1}{16})^{- 2})^{3} = 4^{- x}

Frequently Asked Questions (FAQ)

What is the answer to 12000=200e^{0.01t} ?
The answer to 12000=200e^{0.01t} is t=(ln(60))/(0.01)