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Popular >

2500=5000e^{-0.8t}

Solution

2500 = 5000 e^{- 0.8 t}

Solution

t = \frac{ln ( 2 )}{0.8}

+1

Decimal Notation

t = 0.86643 \dots

Solution steps

2500 = 5000 e^{- 0.8 t}

Switch sides

5000 e^{- 0.8 t} = 2500

Divide both sides by

5000

e^{- 0.8 t} = \frac{1}{2}

Apply exponent rules

- 0.8 t = ln (\frac{1}{2})

Solve

- 0.8 t = ln (\frac{1}{2}) : t = \frac{ln ( 2 )}{0.8}

t = \frac{ln ( 2 )}{0.8}

Popular Examples

3 e^{4 t} = 200

solvefor y,x=e^{-y^2}solve for

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

4 e^{4 - x} = 5

9^{x^2}=3^{3x-1}

9^{x^{2}} = 3^{3 x - 1}

4 (2^{x - 5}) = 12

Frequently Asked Questions (FAQ)

What is the answer to 2500=5000e^{-0.8t} ?
The answer to 2500=5000e^{-0.8t} is t=(ln(2))/(0.8)