What is the answer to 3000=2000*e^{0.69} ?

The answer to 3000=2000*e^{0.69} is e=(3/2)^{100/69}

Solve for e: 3000=2000*e^{0.69}

The solution is e=(3/2)^{100/69}

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3000 = 2000 \cdot e^{0.69}

e = (\frac{3}{2})^{\frac{100}{69}}

Decimal Notation

e = 1.79971 \dots

Solution steps

3000 = 2000 e^{0.69}

Switch sides

2000 e^{0.69} = 3000

Divide both sides by

2000

e^{0.69} = \frac{3}{2}

Take both sides of the equation to the power of

\frac{100}{69} : e = (\frac{3}{2})^{\frac{100}{69}}

e = (\frac{3}{2})^{\frac{100}{69}}

Verify Solutions:

e = (\frac{3}{2})^{\frac{100}{69}}

True

The solution is

e = (\frac{3}{2})^{\frac{100}{69}}

4 - x^{2} = 2 - x

2 x - 4 = 10

6 w + 13 = 8 w + 3

x^{\frac{1}{2}} + 2 = 0

27 - 3 x = x + 9

What is the answer to 3000=2000*e^{0.69} ?
The answer to 3000=2000*e^{0.69} is e=(3/2)^{100/69}
Solve for e: 3000=2000*e^{0.69}
The solution is e=(3/2)^{100/69}