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Popular >

-5+20e^{-2t}=0

Solution

- 5 + 20 e^{- 2 t} = 0

Solution

t = ln (2)

+1

Decimal Notation

t = 0.69314 \dots

Solution steps

- 5 + 20 e^{- 2 t} = 0

Add

5

to both sides

- 5 + 20 e^{- 2 t} + 5 = 0 + 5

Simplify

20 e^{- 2 t} = 5

Divide both sides by

20

e^{- 2 t} = \frac{1}{4}

Apply exponent rules

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

Solve

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

t = ln (2)

Popular Examples

125^{x-3}=25^{x-3}

12 5^{x - 3} = 2 5^{x - 3}

2^{2 x} = 9

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

2(5^x)=7+15(5^{-x})

2 (5^{x}) = 7 + 15 (5^{- x})

64 = 3 2^{- x - 1}

Frequently Asked Questions (FAQ)

What is the answer to -5+20e^{-2t}=0 ?
The answer to -5+20e^{-2t}=0 is t=ln(2)