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Popular >

38+12e^{-0.5y}=208

Solution

38 + 12 e^{- 0.5 y} = 208

Solution

y = - \frac{ln ( \frac{85}{6} )}{0.5}

+1

Decimal Notation

y = - 5.30178 \dots

Solution steps

38 + 12 e^{- 0.5 y} = 208

Move

38

to the right side

12 e^{- 0.5 y} = 170

Divide both sides by

12

e^{- 0.5 y} = \frac{85}{6}

Apply exponent rules

- 0.5 y = ln (\frac{85}{6})

Solve

- 0.5 y = ln (\frac{85}{6}) : y = - \frac{ln ( \frac{85}{6} )}{0.5}

y = - \frac{ln ( \frac{85}{6} )}{0.5}

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Frequently Asked Questions (FAQ)

What is the answer to 38+12e^{-0.5y}=208 ?
The answer to 38+12e^{-0.5y}=208 is y=-(ln(85/6))/(0.5)