Question

If \(\log{\left(\frac{x+y}{3}\right)} = \frac{1}{2} \left(\log{x} + \log{y}\right)\) then the value of \(\frac{x}{y} + \frac{y}{x}\) is?

• A. 7
• B. 8
• C. -7
• D. 9

Hint:

To solve logarithmic equations, use properties such as \(\log{a} + \log{b} = \log{(ab)}\) and \(\frac{1}{2} \log{a} = \log{\sqrt{a}}\) to simplify the expressions.

Answer 1

The Correct Option is A