# APPLICATIONS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS

APPLICATIONS OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS

(Population Word Problems)

To solve an exponential or logarithmic word problem, convert the narrative to an equation and solve the equation.

If you would like to check your answers to the following problems and/or review the solutions, click on Answer.

1.
Find the equation to the base 2 that describes a population of cells that start with 5 cells and double every hour.

2.
Find the equation to the base 4 that describes a population of cells that start with 5 cells and double every hour.

3.
Find the equation to the base e that describes a population of cells that start with 5 cells and double every hour.

4.
Find the equation to the base 50 that describes a population of cells that start with 5 cells and double every hour.

5.
Town A had a population of 10,000 in 1900 and a population of 20,000 in 1950. Find the relative growth rate and the equation that describes the population size. What was the population in 1940?

6.
Town A had a population of 10,000 in 1900 and 20,000 in 1950. Town A had a population 60,000 in 1900 and 15,000 in 1950. In what year was the population in both towns the same?

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[Exponential Rules] [Logarithms]

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Author: Nancy Marcus