Logarithm · UPSC CDS/OTA · Question 8 of 30

Logarithm – Question 8

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 log₁₀a = b, find the value of 103b in terms of (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.

log₁₀a = b ⇒ 10b = a ⇒ By definition of logs.

Thus 103b = (10b)3 = a₃.

Final Answer: Option D — a × 100
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Logarithm Question 8 – UPSC CDS/OTA