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Exponential and logarithmic functions: finding half life and doubling time

Exponential and logarithmic functions: finding half life and doubling time-example-1
User Laoyur
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1 Answer

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We are doubling the initial investment so y = 2 y0

2 y0 = y0 e ^( .0325t)

Divide each side by y0

2 = e ^( .0325t)

Take the natural log of each side

ln(2) = ln( e ^( .0325t))

ln2 = .0325t

Divide each side by .0325

ln(2) / .0325 = t

21.32760 = t

Rounding to the nearest tenth

21.3 = t

User Stoner
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