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19. If logx y + log, x = 2.9 and xy = 128, find x + y. 24 O 20V2 O 36 O 34V 2 O 66

19. If logx y + log, x = 2.9 and xy = 128, find x + y. 24 O 20V2 O 36 O 34V 2 O 66

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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### Mathematical Problem **Question 19:** If \(\log_x y + \log_y x = 2.9\) and \(xy = 128\), find \(x + y\). #### Multiple Choice Options: - \( \text{24} \) - \( 20\sqrt{2} \) - \( \text{36} \) - \( 34\sqrt{2} \) - \( \text{66} \) --- This problem requires knowledge of logarithmic properties and algebraic manipulation to solve for the sum of the variables \(x\) and \(y\).
Transcribed Image Text:### Mathematical Problem **Question 19:** If \(\log_x y + \log_y x = 2.9\) and \(xy = 128\), find \(x + y\). #### Multiple Choice Options: - \( \text{24} \) - \( 20\sqrt{2} \) - \( \text{36} \) - \( 34\sqrt{2} \) - \( \text{66} \) --- This problem requires knowledge of logarithmic properties and algebraic manipulation to solve for the sum of the variables \(x\) and \(y\).
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