Question

If log3 x + log3 y = 2 + log3 2 and log3 (x + y) = 2, then

• (A) x = 1, y = 8
• (B) x = 8,  y = 1
• (C) x = 3, y = 6
• (D) x = 9, y = 3

Answer 1

The Correct Option is C

Explanation:
$$\begin{array}{rl}& {\log }_{3}x+{\log }_{3}y=2+{\log }_{3}2\\ \Rightarrow & xy=18\\ \log (x+y)=2& \Rightarrow x+y=9\end{array}$$we will get $x=3$ and $y=6$