Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If a, b, c are distinct positive number but no one among them is equal to one and
log b a log c a + log a b log c b + log a c log b c = 3, then value of abc is
Text Solution
Verified by ExpertsThe correct answer is:
D
.
+
.
+
.
= 3
⇒
+
+
= 3
⇒ (log a) 3 + (log b) 3 + (log c) 3 = 3 log a.log b.log c
⇒ log a + log b + log c = 0 ( a, b, c are distinct)
⇒ log abc = 0 ⇒ abc = 1
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