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Logarithm · UPSC CDS/OTA · Question 37 of 53

Logarithm: 3log₅ + 2log₄ – log 2 = ?

Step-by-step solution. Logarithm for UPSC CDS/OTA.

Topic
Logarithm
Subject
Mathematics
Difficulty
Medium
Solve Time
45-60 sec

Solved UPSC CDS/OTA Question

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Q · LogarithmMedium · 45s

3log₅ + 2log₄ – log 2 = ?

TopicLogarithm
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

3log₅ + 2log₄ – log₂

= log₁₂₅ + log₁₆ – log₂

= log(125 × 16)/2 = log₁₀₀₀ = 3

Final Answer: Option B - 3
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3log₅ + 2log₄ – log 2 = ? - Logarithm (Mathematics) Solved Question