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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

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If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is: Answer: 3.876

log₅ 512 = log 512/log 5 = log 2⁹/log (10/2) = 9 log 2/ log 10 - log 2 = (9 x 0.3010)/1 - 0.3010 = 2.709/0.699 = 2709/699 = 3.876

Question context

This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the DemoPaper-Pakistan preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.