Logarithm · UPSC CDS/OTA · Question 5 of 30

Logarithm – Question 5

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

A solved UPSC CDS/OTA PYQ — decoded step-by-step.

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Q · LogarithmMedium · 45s

loga₄ + loga₁₆ + loga₆₄ + loga₂₅₆ = 10. Then a = ?

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.

The given expression is

loga(4 × 16 × 64 × 256) = 10

loga₄₁₀ = 10

Final Answer: Option A — 4
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Logarithm Question 5 – UPSC CDS/OTA