Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The solution set of the system of equations log 3 x + log 3 y = 2 + log 3 2 and log 27 (x + y) = 
is :
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b)
log 3 x + log 3 y = 2 + log 3 2, log 27 (x + y) = 
⇒ log 3 xy = log 3 9 + log 3 2, ⇒ x + y = (27) 2/3
⇒ xy = 18 , ⇒ x + y = 9
⇒ x = 6 or x = 3
y = 3, y = 6
as x > 0, y > 0.
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