Question
Mathematics Question on Relations and functions
If log3 x + log3 y = 2 + log3 2 and log3 (x + y) = 2, then
A
(A) x = 1, y = 8
B
(B) x = 8, y = 1
C
(C) x = 3, y = 6
D
(D) x = 9, y = 3
Answer
(C) x = 3, y = 6
Explanation
Solution
Explanation:
log3x+log3y=2+log32⇒xy=18log(x+y)=2⇒x+y=9we will get x=3 and y=6