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Exponential and Logarithmic Functions

1. Sketch the graphs of y=5x and y=-5x+2-1 on the same set of axes. Identify the following properties of each graph:

a) the domains
b) the ranges
c) any asymptotes
d) the y-intercepts

2. The population of the U.S. doubles approximately every 100 years. In 1980 the population of the U.S. was 200 million. Find the projected population for the year 2180.

The formula for the population N(t) at any time t is
C is the population at t=0
t is the time period elapsed
d is the doubling period of the population

3. Evaluate the following logarithms:

a) log162
b) log77
c) 10log1019

4. Solve the following equations:

a) log8x=5
b) 2x-1=3

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Solution Summary

Exponential and Logarithmic Functions are investigated.