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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Chapter
Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

Use Formula 10 to graph the given functions on a common screen. How are these graphs related?

43. y = log 1.5 x , y = ln  x , y = log 10 x , y = log 50 x

To determine

To sketch: Use Formula 10 to graph the functions y=log1.5x,y=lnx,y=log10x and y=log50x on a common screen and interpret how these graphs is related.

Explanation

The graphs of the function y=log1.5x,y=lnx,y=log10x and y=log50x are drawn and shown below in Figure 1.

From Figure 1, it is noted that the graphs are passing through the common point (1, 0).

Use Formula 10, logba=lnalnb,b1 and express the given log function in terms of natural logarithm (ln) and identify the relationship between each graph

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