What is the answer to 34.416e^{-0.18t}=6 ?

The answer to 34.416e^{-0.18t}=6 is t=-(ln(125/717))/(0.18)

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34.416e^{-0.18t}=6

34.416 e^{- 0.18 t} = 6

t = - \frac{ln ( \frac{125}{717} )}{0.18}

Decimal

t = 9.70423 \dots

Solution steps

34.416 e^{- 0.18 t} = 6

Multiply both sides by

1000

34416 e^{- 0.18 t} = 6000

Divide both sides by

34416

e^{- 0.18 t} = \frac{125}{717}

Apply exponent rules

- 0.18 t = ln (\frac{125}{717})

Solve

- 0.18 t = ln (\frac{125}{717}) : t = - \frac{ln ( \frac{125}{717} )}{0.18}

t = - \frac{ln ( \frac{125}{717} )}{0.18}

(16 + \frac{0.878}{26})^{3 t} = 30

2^{5 x} = 10

4^{1 - x} = 3^{2 x + 4}

2 7^{3 x + 5} = 8 1^{4 x + 1}

4 = 102 4^{x}

What is the answer to 34.416e^{-0.18t}=6 ?
The answer to 34.416e^{-0.18t}=6 is t=-(ln(125/717))/(0.18)