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Popular >

2400(1-e^{3x})=2000

Solution

2400 (1 - e^{3 x}) = 2000

Solution

x = - \frac{ln ( 6 )}{3}

+1

Decimal Notation

x = - 0.59725 \dots

Solution steps

2400 (1 - e^{3 x}) = 2000

Divide both sides by

2400

1 - e^{3 x} = \frac{5}{6}

Move

1

to the right side

- e^{3 x} = - \frac{1}{6}

Divide both sides by

- 1

e^{3 x} = \frac{1}{6}

Apply exponent rules

3 x = ln (\frac{1}{6})

Solve

3 x = ln (\frac{1}{6}) : x = - \frac{ln ( 6 )}{3}

x = - \frac{ln ( 6 )}{3}

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4^{x + 1} - 2^{x + 1 + 2} = 0

x^x=sqrt((\sqrt{2))/2}

x^{x} = \frac{2}{2}

256^{3x+3}=1024^{2x+2}

25 6^{3 x + 3} = 102 4^{2 x + 2}

Frequently Asked Questions (FAQ)

What is the answer to 2400(1-e^{3x})=2000 ?
The answer to 2400(1-e^{3x})=2000 is x=-(ln(6))/3