Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find for what values of x, the following functions would be identical.
f(x) = log (x − 1) − log (x − 2) and g (x) = log 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(2, ∞ )
Sol. f(x) = log (x – 1) – log (x – 2) = log 
x > 1 and x > 2 ⇒ x ∈ (2, ∞ ) ⇒ g(x) = log 
⇒ 
> 0 ⇒ x ∈ (– ∞ , 1) ∪ (2, ∞ )
common domain x ∈ (2, ∞ )
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