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Popular >

9=5+16e^{-0.01102t}

Solution

9 = 5 + 16 e^{- 0.01102 t}

Solution

t = \frac{2 ln ( 2 )}{0.01102}

+1

Decimal Notation

t = 125.79803 \dots

Solution steps

9 = 5 + 16 e^{- 0.01102 t}

Switch sides

5 + 16 e^{- 0.01102 t} = 9

Move

5

to the right side

16 e^{- 0.01102 t} = 4

Divide both sides by

16

e^{- 0.01102 t} = \frac{1}{4}

Apply exponent rules

- 0.01102 t = ln (\frac{1}{4})

Solve

- 0.01102 t = ln (\frac{1}{4}) : t = \frac{2 ln ( 2 )}{0.01102}

t = \frac{2 ln ( 2 )}{0.01102}

Popular Examples

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

2^{x + 2} = 1 6^{x}

8 = 51 4^{x}

5^{2 r - 3} = 25

0 = 320 e^{- 3.1 t}

Frequently Asked Questions (FAQ)

What is the answer to 9=5+16e^{-0.01102t} ?
The answer to 9=5+16e^{-0.01102t} is t=(2ln(2))/(0.01102)