DISCUSS: The Height of the Graph of a Logarithmic Function Suppose that the graph of y = 2" is drawn on a coordinate plane where the unit of measurement is an inch. (a) Show that at a distance 2 ft to the right of the origin the height of the graph is about 265 mi. (b) If the graph of y = log, x is drawn on the same set of axes, how far to the right of the origin do we have to go before the height of the curve reaches 2 ft?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.3: Logarithmic Functions
Problem 102E
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DISCUSS: The Height of the Graph of a Logarithmic Function
Suppose that the graph of y = 2" is drawn on a coordinate
plane where the unit of measurement is an inch.
(a) Show that at a distance 2 ft to the right of the origin the
height of the graph is about 265 mi.
(b) If the graph of y = log, x is drawn on the same set of
axes, how far to the right of the origin do we have to go
before the height of the curve reaches 2 ft?
Transcribed Image Text:DISCUSS: The Height of the Graph of a Logarithmic Function Suppose that the graph of y = 2" is drawn on a coordinate plane where the unit of measurement is an inch. (a) Show that at a distance 2 ft to the right of the origin the height of the graph is about 265 mi. (b) If the graph of y = log, x is drawn on the same set of axes, how far to the right of the origin do we have to go before the height of the curve reaches 2 ft?
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