A student used a graphing calculator to illustrate identities. The student assumed that log (x²) = 2 log x because loga (M") = n loga M. The student graphed y = log(x²) and obtained the graph shown below on the left. The student then graphed y = 2 log x and obtained the graph shown below on the right. Graph of y= log(x²) 1+ X Graph of y= 2 log x y 1+ x

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use the information below to explain why the graphs are not identical.
A student used a graphing calculator to illustrate identities. The student
assumed that log (x²)=2 log x because loga (M") = n loga M. The student
graphed y = log(x²) and obtained the graph shown below on the left. The
student then graphed y=2 log x and obtained the graph shown below on
the right.
#
Graph of y=log(x²)
y
1+
+2
+3
4
+-50
X
Graph of y=2 log x
y
33
1
234
X
Transcribed Image Text:Use the information below to explain why the graphs are not identical. A student used a graphing calculator to illustrate identities. The student assumed that log (x²)=2 log x because loga (M") = n loga M. The student graphed y = log(x²) and obtained the graph shown below on the left. The student then graphed y=2 log x and obtained the graph shown below on the right. # Graph of y=log(x²) y 1+ +2 +3 4 +-50 X Graph of y=2 log x y 33 1 234 X
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