What is the answer to 200=100(2.718)^r ?

The answer to 200=100(2.718)^r is r=(ln(2))/(ln(2.718))

Solve for r: 200=100(2.718)^r

The solution is r=(ln(2))/(ln(2.718))

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200 = 100 (2.718)^{r}

r = \frac{ln ( 2 )}{ln ( 2.718 )}

Decimal Notation

r = 0.69321 \dots

Solution steps

200 = 100 (2.718)^{r}

Switch sides

100 \cdot 2.71 8^{r} = 200

Divide both sides by

100

2.71 8^{r} = 2

Apply exponent rules

r ln (2.718) = ln (2)

Solve

r ln (2.718) = ln (2) : r = \frac{ln ( 2 )}{ln ( 2.718 )}

r = \frac{ln ( 2 )}{ln ( 2.718 )}

ln (\frac{2}{5}) = ln (0. 9^{t})

9^{x + 1} = 1

9^{x + 1} = 2

8^{3 p + 4} 8^{- 4 p - 2} = 2^{p - 1}

200000 = 100000 (1 + 0.0425)^{t}

What is the answer to 200=100(2.718)^r ?
The answer to 200=100(2.718)^r is r=(ln(2))/(ln(2.718))
Solve for r: 200=100(2.718)^r
The solution is r=(ln(2))/(ln(2.718))