Question

1. the reason to use logarithms is

A. The constant e has unknown exponents

B.To divide the population by t

C the constant g has variable exponents

Dto take the difference of N0 and Nt

E The constant e has to be determined

2. the logarithm

A IS taken on one side so that the exponents can be equal to Nt

B is used to determine the difference of N0 and Nt

C is used to calculate e

D Enable the difference of N0 and Nt to be divided by t

E Relocates the exponents

3.The growth rate ends up being

a the logarithm of N0 subtracted from Nt and finally divided by t

b.The difference of N0 and Nt divided by t

C the logarithm of the quotient of Nt divided by N0 and finally divided by t

D N0 divided by Nt and multiplied by t

Ethe logarithm of Nt minues the logarithm of N0 all divided by t

Answer 1

1. The reason to use logarithm is the constant e has unknown exponents. So to simplify the equation it is used.

2. The logarithm relocates the exponents. N_{​​​​​​t}/N_{​​​​​​0} = e^{​​​​​​-kt}

so taking log it becomes logN_​​​t/N_{​​​​​0}  = -kt

3. The growth rate ends up being thr logarithm of Nt by No divided by t.