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Popular >

5e^{-2t}=6

Solution

5 e^{- 2 t} = 6

Solution

t = - \frac{ln ( \frac{6}{5} )}{2}

+1

Decimal Notation

t = - 0.09116 \dots

Solution steps

5 e^{- 2 t} = 6

Divide both sides by

5

e^{- 2 t} = \frac{6}{5}

Apply exponent rules

- 2 t = ln (\frac{6}{5})

Solve

- 2 t = ln (\frac{6}{5}) : t = - \frac{ln ( \frac{6}{5} )}{2}

t = - \frac{ln ( \frac{6}{5} )}{2}

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Frequently Asked Questions (FAQ)

What is the answer to 5e^{-2t}=6 ?
The answer to 5e^{-2t}=6 is t=-(ln(6/5))/2