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Popular >

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

Solution

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

Solution

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

+1

Decimal Notation

x = 125.79803 \dots

Solution steps

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

Switch sides

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

Move

5

to the right side

16 e^{- 0.01102 x} = 4

Divide both sides by

16

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

Apply exponent rules

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

Solve

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

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

Popular Examples

81^{3x+2}=9^{5x+6}

8 1^{3 x + 2} = 9^{5 x + 6}

3^{x} = 6

400=250(1+0.07)^t

400 = 250 (1 + 0.07)^{t}

28*13^{x+11}-16=12

28 \cdot 1 3^{x + 11} - 16 = 12

(30)/(1+e^{-x)}=4

\frac{30}{1 + e ^{- x}} = 4

Frequently Asked Questions (FAQ)

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