Unit 06: Exponential and Logarithmic Functions
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Last updated 4:46 PM on 6/17/23
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11 Terms
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exponential function
y = ab^x
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Exponential function
y \= ab^x
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Exponential decay model
a (1 - r)^t
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Compound interest
A \= P (1 + r/n)^nt
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Natural base e
as x approaches infinity, (1 + x/1)^x approaches e
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Natural base exponential function
y \= ae^rt
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Continuously compounded interest
A \= Pe^rt
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Natural (uninhibited) growth/decay function
N(t) \=N0e^kt
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Half-life
N(t) \= N0(1/2)^t/h
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Doubling formula
N (t) = N0(2)^t/d
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Change of base formula
logc(a) = log a/log c