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Logarithm · UPSC CDS/OTA · Question 3 of 53

Logarithm: If log₁₀₂ = .301 find log₁₀₁₂₅.

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

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

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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
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If log₁₀₂ =.301 find log₁₀₁₂₅. - Logarithm (Mathematics) Solved Question