Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The equation 
= 3 
has
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,c,d)
= 3 
⇒ 
– 
log 3 x + 5 = log x 3 
⇒ 
– 
log 3 x + 5 = 
log x 3
Let log 3 x = t ⇒ t 2 – 
t + 5 = 
⇒ 2t 3 – 9t 2 + 10t – 3 = 0
t = 1 satisfies it
2t 3 – 9t 2 + 10t – 3 = 2t 2 (t – 1) – 7t(t – 1) + 3(t – 1) = (t – 1) 
= (t – 1) (2t – 1) (t – 3)
⇒ t = 1 t = 
t = 3
⇒ log 3 x = 1 log 3 x = 
log 3 x = 3
⇒ x = 3 x = 3 1/2 x = 27
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