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Logarithm · UPSC CDS/OTA · Question 12 of 53

Logarithm: Find x, log(x₂ – 6x + 6) = 0

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

Find x, log(x₂ – 6x + 6) = 0

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.

x₂ – 6x + 6 = 10° ⇒ x₂ – 6x + 6 = 1

⇒ x₂ – 6x + 5 = 0

Solving gives us x = 5 and 1.

Final Answer: Option C - Both (a)&(b)
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Find x, log(x₂ – 6x + 6) = 0 - Logarithm (Mathematics) Solved Question