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IgorC [24]
4 years ago
14

Expanding log functions ㏒3 (3(x+1)(x+2))

Mathematics
1 answer:
Oksanka [162]4 years ago
6 0
Log(ab)=log(a)+log(b)
log_a(a)=1
so

log_3(3(x+1)(x+2))=log_3(3)+log_3(x+1)+log(x+2)=1+log_3(x+1)+log_3(x+2)
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Answer:

The initial population size is of 58.

The population size of the specie after t years is given by:

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Step-by-step explanation:

Population size of the specie:

The population size of the specie after t years is given by:

P(t) = \frac{520}{1 + 8e^{-0.3t}

Initial population size

This is P when t = 0, that is, P(0). So

P(0) = \frac{520}{1 + 8e^{-0.3*0} = \frac{520}{1+8} = \frac{520}{9} = 57.7

Rounding to the nearest number, 58

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