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Prove that th followijg is true forx, y > 0. Please show all steps log(1+ xy) log(1+x)log (1+y) a c log(1 + √xy) > √log(1 + x) log(1 + y)

Prove that th followijg is true forx, y > 0. Please show all steps log(1+ xy) log(1+x)log (1+y) a c log(1 + √xy) > √log(1 + x) log(1 + y)

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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Prove that the followijg is true for x, y > 0. Please show all steps log(1 + xy) ≥ log(1 + x)log(1+y) ²₁ ÿ log(1+ √xy) ≥ √log(1 + x) log(1 + y)
Transcribed Image Text:Prove that the followijg is true for x, y > 0. Please show all steps log(1 + xy) ≥ log(1 + x)log(1+y) ²₁ ÿ log(1+ √xy) ≥ √log(1 + x) log(1 + y)
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