Logarithm · UPSC CDS/OTA · Question 3 of 30

Logarithm – Question 3

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.

Solve it the standard way once — then learn the shortcut.

Q · LogarithmMedium · 45s

If log₁₀₂ = .301 find log₁₀₁₂₅.

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.

log₁₀₁₂₅ = log₁₀(1000/8) = log₁₀₀₀ – 3log₂

= 3 – 3 × 0.301 = 2.097

Final Answer: Option A — 2.097
Solve Question✦ Build Plan
Logarithm Question 3 – UPSC CDS/OTA