Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
, show that a a . b b . c c = 1
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
= 
= 
= k (let)
log a = k(b – c) ⇒ a log a = ka (b – c)
log b = k(c – a) ⇒ b log b = kb (c – a)
log c = k(a – b) ⇒ c log c = kc (a – b)
∴ log a a + log b b + log c c = k (ab – ac + bc – ab + ca – bc)
⇒ log a a b b c c = 0 ⇒ a a b b c c = 1
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems