GATE DA 2026 Set 1 — Question 4
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
Consider two distinct positive real numbers , with .
Let and . The relation between and is _______.
Let and . The relation between and is _______.
Correct answer
(C) x = y
Solution
Taking the logarithm base 10 of both sides for :Taking the logarithm base 10 of both sides for :Since multiplication is commutative, , which implies .
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