Question Details

In the exponential growth equation Nt = Noert, e represents :

Options

A

The base of number logarithms

B

The base of exponential logarithms

C

The base of natural logarithms

D

The base of geometric logarithms

Correct Answer :

The base of natural logarithms

Solution :

The correct answer is The base of natural logarithms.

Explanation:
The equation given is the standard mathematical model for exponential growth:

Nt=N0ert


In this equation:
Nt represents the population density or size at time t.
N0 represents the initial population density or size at time zero (t=0).
r represents the intrinsic rate of natural increase.
t represents the time period.
e represents Euler's number, which is a mathematical constant approximately equal to 2.71828.

By definition, the constant e is the base of natural logarithms (logarithms to the base e, often denoted as ln). Therefore, in the exponential growth formula, e represents the base of natural logarithms.

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.