Question:

In the exponential growth equation $N _{ t }= N _{0} e ^{ rt }$, e represents:

Updated On: Aug 6, 2024
  • The base of number logarithms
  • The base of exponential logarithms
  • The base of natural logarithms
  • The base of geometric logarithms
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The Correct Option is C

Solution and Explanation

The integral form of the exponential growth equation as $Nt = N _{0} e ^{ rt }$
Where,
$Nt =$ Population density after time $t$
$N _{0}=$ Population density at time zero
$r=$ intrinsic rate of natural increase
$e=$ the base of natural logarithms (2.71828)
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Concepts Used:

Population Explosion

It refers to the rapid increase in the population of an area among human beings. Furthermore, it is a situation where the economy is not capable of coping with the increasing demand of its population. Population explosion refers to the number of people that live in an area. It is a major issue for developing countries. Also, the government is not taking proper measures to control this problem

Causes of Population Explosion:

The cause of the population explosion includes many factors and reasons. These includes:

  1. Increase in the birth rate
  2. A decrease in infant mortality rate
  3. The life expectancy growth
  4. High level of illiteracy