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Popular >

240=200e^{x*6/12}

Solution

240 = 200 e^{x \cdot \frac{6}{12}}

Solution

x = 2 ln (\frac{6}{5})

+1

Decimal Notation

x = 0.36464 \dots

Solution steps

240 = 200 e^{x \frac{6}{12}}

Switch sides

200 e^{x \frac{6}{12}} = 240

Divide both sides by

200

e^{x \frac{6}{12}} = \frac{6}{5}

Apply exponent rules

x \frac{6}{12} = ln (\frac{6}{5})

Solve

x \frac{6}{12} = ln (\frac{6}{5}) : x = 2 ln (\frac{6}{5})

x = 2 ln (\frac{6}{5})

Popular Examples

(4^{x}) (4^{5}) = 4^{8}

25^{-x}=5^{x+7}

2 5^{- x} = 5^{x + 7}

2^{x} + 4 = 2^{3} x - 1

110=120(1-e^{-0.2t})

110 = 120 (1 - e^{- 0.2 t})

log_{10}(0.125^{x-2})=2

lo g_{10} (0.12 5^{x - 2}) = 2

Frequently Asked Questions (FAQ)

What is the answer to 240=200e^{x*6/12} ?
The answer to 240=200e^{x*6/12} is x=2ln(6/5)