What is the answer to 5000000=1000000e^{0.645t} ?

The answer to 5000000=1000000e^{0.645t} is t=(ln(5))/(0.645)

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5000000=1000000e^{0.645t}

5000000 = 1000000 e^{0.645 t}

t = \frac{ln ( 5 )}{0.645}

Decimal Notation

t = 2.49525 \dots

Solution steps

5000000 = 1000000 e^{0.645 t}

Switch sides

1000000 e^{0.645 t} = 5000000

Divide both sides by

1000000

e^{0.645 t} = 5

Apply exponent rules

0.645 t = ln (5)

Solve

0.645 t = ln (5) : t = \frac{ln ( 5 )}{0.645}

t = \frac{ln ( 5 )}{0.645}

6^{x} = 5 \cdot 3^{x + 1}

2^{x} = 3^{(x - 1)}

\frac{1}{3} = 3^{(2 x + 2)}

4^{x} + 64 = 16 \cdot 2^{x}

What is the answer to 5000000=1000000e^{0.645t} ?
The answer to 5000000=1000000e^{0.645t} is t=(ln(5))/(0.645)