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Popular >

2500=5000e^{100x}

Solution

2500 = 5000 e^{100 x}

Solution

x = - \frac{ln ( 2 )}{100}

+1

Decimal

x = - 0.00693 \dots

Solution steps

2500 = 5000 e^{100 x}

Switch sides

5000 e^{100 x} = 2500

Divide both sides by

5000

e^{100 x} = \frac{1}{2}

Apply exponent rules

100 x = ln (\frac{1}{2})

Solve

100 x = ln (\frac{1}{2}) : x = - \frac{ln ( 2 )}{100}

x = - \frac{ln ( 2 )}{100}

Graph

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Frequently Asked Questions (FAQ)

What is the answer to 2500=5000e^{100x} ?
The answer to 2500=5000e^{100x} is x=-(ln(2))/(100)