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Consider the equation xln(3x)−3 = 0 . Explain why 2 ln(6)>3 without computing the value of ln(6) out explicitly.

Consider the equation xln(3x)−3 = 0 . Explain why 2 ln(6)>3 without computing the value of ln(6) out explicitly.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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Consider the equation xln(3x)−3 = 0 .

Explain why 2 ln(6)>3 without computing the value of ln(6) out explicitly.

(Hint: e<3 therefore e^3<3^3).

 

(I asked this question before but did not 100% follow the logic. If someone could show the simplest way to solve the problem with minor explanations, that would be great. Thanks.)

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