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Chapter 5: Q 31. (page 308)
Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of a and b.
The result is.
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Vehicle Stopping Distance Taking into account reaction time, the distance (in feet) that a car requires to come to a complete stop while traveling miles per hour is given by the function
localid="1646198784356"
a. Express the speed at which the car is traveling as a function of the distance localid="1646198792401" required to come to a complete stop
b. Verify that localid="1646198797631" is the inverse of localid="1646198802104" by showing that localid="1646198806352" and localid="1646198811055"
c. Predict the speed that a car was traveling if the distance required to stop was localid="1646198818232" feet.
Height and Head Circumference. The head circumference
C of a child is related to the height H of the child (both in inches) through the function
(a) Express the head circumference C as a function of height H.
(b) Verify that is the inverse of by showing that and .
(c) Predict the head circumference of a child who is inches tall.
Begin with the graph of and use transformation to graph the function. Determine the domain, range and horizontal asymptote of the function.
Solve the equation
and verify your results using a graphing utility.
Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red.
________ is a function of the form where and are real numbers. The base is a ____ and is a _____.
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