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Popular >

380=760e^{(-144)x}

Solution

380 = 760 \cdot e^{(- 144) \cdot x}

Solution

x = \frac{ln ( 2 )}{144}

+1

Decimal Notation

x = 0.00481 \dots

Solution steps

380 = 760 e^{(- 144) x}

Switch sides

760 e^{(- 144) x} = 380

Divide both sides by

760

e^{(- 144) x} = \frac{1}{2}

Apply exponent rules

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

Solve

(- 144) x = ln (\frac{1}{2}) : x = \frac{ln ( 2 )}{144}

x = \frac{ln ( 2 )}{144}

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Frequently Asked Questions (FAQ)

What is the answer to 380=760*e^{(-144)*x} ?
The answer to 380=760*e^{(-144)*x} is x=(ln(2))/(144)