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
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)