12-07: Logarithms (II)
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4 Terms
1
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% growth/decay
A = A₀(1± r)
A: final quantity
A₀: initial quantity
r: growth/decay rate (express as a decimal)
A: final quantity
A₀: initial quantity
r: growth/decay rate (express as a decimal)
2
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doubling
A = A₀(2)ᵗ/ᵈ
A: final quantity
A₀ : initial quantity
t: time passed
d: doubling time (how long it takes to double)
A: final quantity
A₀ : initial quantity
t: time passed
d: doubling time (how long it takes to double)
3
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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
A: final quantity
A₀ : initial quantity
t: time passed
h: half life (how long it takes to half in quantity
4
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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)
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)