What is wrong with the following argument?                                  log 0.1 <  2 log 0.1                                              = log(0.1)^2                                             = log 0.01                                 log 0.1 < log 0.01                                       0.1 < 0.01

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 26RE
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What is wrong with the following argument?
                                 log 0.1 <  2 log 0.1 
                                            = log(0.1)^2
                                            = log 0.01
                                log 0.1 < log 0.01
                                      0.1 < 0.01
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