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Popular >

200=100e^{r(6)}

Solution

200 = 100 e^{r (6)}

Solution

r = \frac{ln ( 2 )}{6}

+1

Decimal Notation

r = 0.11552 \dots

Solution steps

200 = 100 e^{r (6)}

Switch sides

100 e^{r 6} = 200

Divide both sides by

100

e^{r 6} = 2

Apply exponent rules

r \cdot 6 = ln (2)

Solve

r \cdot 6 = ln (2) : r = \frac{ln ( 2 )}{6}

r = \frac{ln ( 2 )}{6}

Popular Examples

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3^{x + 2} = 63

4^{x+4}-4^{x+3}=96

4^{x + 4} - 4^{x + 3} = 96

Frequently Asked Questions (FAQ)

What is the answer to 200=100e^{r(6)} ?
The answer to 200=100e^{r(6)} is r=(ln(2))/6