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

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

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6=34.416e^{-0.18(t)}

6 = 34.416 e^{- 0.18 (t)}

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

Decimal

t = 9.70423 \dots

Solution steps

6 = 34.416 e^{- 0.18 (t)}

Switch sides

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}

(1 + x^{2}) 2^{x} - 5 \cdot 2^{x} = 0

t, 8000 = 245 t + 6125 e^{- 0.04 t}

4^{x} + 2^{x} = 12

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

8^{3 x - 5} = 3 2^{2 x + 3}

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