For this question I don't understand for the solution given how you found log_2(3) to be rational... can you explain and show using (mod#)? **(b) Is the base 2 logarithm of 3, \( \log_2 3 \), a rational number or an irrational number? Justify your conclusion.**This question explores whether \( \log_2 3 \) is a rational or irrational number. To justify the conclusion, consider the properties of logarithms and the definitions of rational and irrational numbers.

Answered: Is the base 2 logarithm of 3, log₂ 3, a…

Math

Algebra

Is the base 2 logarithm of 3, log₂ 3, a rational number or an irrational number? Justify your conclusion.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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For this question I don't understand for the solution given how you found log_2(3) to be rational... can you explain and show using (mod#)?

Expert Solution

Step 1: Given

Formula :

a(logb) = log (b^a)

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Solved in 3 steps with 2 images

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