What is the answer to 1200000=600000e^{0.05t} ?

The answer to 1200000=600000e^{0.05t} is t=(ln(2))/(0.05)

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1200000=600000e^{0.05t}

1200000 = 600000 e^{0.05 t}

t = \frac{ln ( 2 )}{0.05}

Decimal Notation

t = 13.86294 \dots

Solution steps

1200000 = 600000 e^{0.05 t}

Switch sides

600000 e^{0.05 t} = 1200000

Divide both sides by

600000

e^{0.05 t} = 2

Apply exponent rules

0.05 t = ln (2)

Solve

0.05 t = ln (2) : t = \frac{ln ( 2 )}{0.05}

t = \frac{ln ( 2 )}{0.05}

9^{x} = 2 7^{x - 2}

e^{2 x} = e^{7 x}

e^{4 x + 4} - e^{- x - 1} = 0

9^{- 3 x} \cdot 9^{x} = 27

1 7^{x} = 4913

What is the answer to 1200000=600000e^{0.05t} ?
The answer to 1200000=600000e^{0.05t} is t=(ln(2))/(0.05)