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Logarithm · UPSC CDS/OTA · Question 32 of 53

Logarithm: log₃₂₈ = ?

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

log₃₂₈ = ?

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.

log₃₂₈ = log₈/log₃₂ (By base change rule)

= 3log₂/5log₂ = 3/5.

Final Answer: Option C - 3/5
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log₃₂₈ = ? - Logarithm (Mathematics) Solved Question