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Popular >

1000=100e^{0.06t}

Solution

1000 = 100 e^{0.06 t}

Solution

t = \frac{ln ( 10 )}{0.06}

+1

Decimal Notation

t = 38.37641 \dots

Solution steps

1000 = 100 e^{0.06 t}

Switch sides

100 e^{0.06 t} = 1000

Divide both sides by

100

e^{0.06 t} = 10

Apply exponent rules

0.06 t = ln (10)

Solve

0.06 t = ln (10) : t = \frac{ln ( 10 )}{0.06}

t = \frac{ln ( 10 )}{0.06}

Popular Examples

6^{3 x - 5} = 1

3 = x + 3 e^{- x}

7^{x} = 7^{3}

4^{7x-2}=17^{x+1}

4^{7 x - 2} = 1 7^{x + 1}

6^{x} = 3 6^{3}

Frequently Asked Questions (FAQ)

What is the answer to 1000=100e^{0.06t} ?
The answer to 1000=100e^{0.06t} is t=(ln(10))/(0.06)