Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the complete solution set of the inequality (log 10 x) 2 ≥ log 10 x + 2 is (0, a] ∪ [b, ∞ ) then find the value of ab.
Text Solution
Verified by ExpertsThe correct answer is:
10
(10)
Sol. (logx) 2 – logx – 2 ≥ 0
x > 0 ....(i)
(log x – 2) (log x +1) ≥ 0
⇒ log x ≤ – 1 or log x ≥ 2
⇒ x ≤ 
or x ≥ 100 ....(ii)
(i) ∩ (ii) ⇒ x ∈ 
.
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