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7. Give one example æ that makes logs(x)|rational but not an integer

7. Give one example æ that makes logs(x)|rational but not an integer

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 7 1. Write an expression equal to log;(6) using only base-2 logarithms (i.e. log;). 2. Write an expression equal to log7(5) + log-(6) |using at most one log. 3. Write an expression equal to log3(20) with as many logarithms as you want, but each log is of a prime number (e.g. log, (5) · log3(7) is OK but log (2 - 2 · 3) is not). 4. Given a = 22 log3 (9) what goes in the blank of y 5. Write an expression equal to log, (c) · log. (b) using exactly one log. (hint: the base of the log will be one of a, b, or c) 6. Write an expression equal to log3(4) + log9(5) |using at most one log. 7. Give one example x that makes log (x) rational but not an integer
Transcribed Image Text:Question 7 1. Write an expression equal to log;(6) using only base-2 logarithms (i.e. log;). 2. Write an expression equal to log7(5) + log-(6) |using at most one log. 3. Write an expression equal to log3(20) with as many logarithms as you want, but each log is of a prime number (e.g. log, (5) · log3(7) is OK but log (2 - 2 · 3) is not). 4. Given a = 22 log3 (9) what goes in the blank of y 5. Write an expression equal to log, (c) · log. (b) using exactly one log. (hint: the base of the log will be one of a, b, or c) 6. Write an expression equal to log3(4) + log9(5) |using at most one log. 7. Give one example x that makes log (x) rational but not an integer
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