Quiz (Exponential and Logarithmic Functions)

(1) True or False? For those which are true if the domain is restricted, give the domain; for those that are false, give the correct equality.

    (a)         
    
    (b)

    (c)     
    
    (d)
    
    (e)     
    
    (f)     
    
(2) (Exponential and Logarithmic Equations) Solve the following equations for real and give the number of solutions you find for each one. Also clearly state any extraneous solutions that you find for each one.

    (a)         
    
    (b)
    
    (c)     
    
    (d)

(3) (Modeling Population) Based on the estimate that there are 10 billion acres of land of Earth, and that each acre can produce enough food to feed 4 people, some demographers believe that the Earth can support a population of no more than 40 billion people. The population of the Earth reached approximately 5 billion in 1986 and 6 billion in 1999. If the population of the Earth is growing according to the formula where is the time after the population is and is the growth rate, when will the population reach the theoretical limit of 40 billion?

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Cite this as:
Exponential And Logarithmic Functions Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/exponential-and-logarithmic-functions-quiz.html