GATE DA 2025 Set 1 — Question 9
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
If a real variable satisfies , then the value of is:
Correct answer
(C) 2³
Solution
Given equation:Rewrite terms with base 3:Substitute back:Equating the exponents:We need to find the value of:Substitute :Thus, the value is .
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