12-07: Logarithms (II)

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% growth/decay

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4 Terms

1

% growth/decay

A = A₀(1± r)

A: final quantity

A₀: initial quantity

r: growth/decay rate (express as a decimal)

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2

doubling

A = A₀(2)ᵗ/ᵈ

A: final quantity

A₀ : initial quantity

t: time passed

d: doubling time (how long it takes to double)

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3

half life

A = A₀(1/2) ᵗ/ʰ

A: final quantity

A₀ : initial quantity

t: time passed

h: half life (how long it takes to half in quantity

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4

extraneous root

answer that throws error when plugged into the question

Cannot log 0 or a negative numbers → sub answers back in to check

Should be greater than 0 when checking (make expression >0 when checking and if it works then it doesn’t break the domain)

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