If $\log _2 x+\log _x 2=\frac{10}{3}=\log _2 y+\log _y 2$ and $x \neq y$, then $(x+y)=?$

JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

\log _2 x+\log _x 2=\frac{10}{3}=\log _2 y+\log _y 2

and

x \neq y

, then

(x+y)=?

View answer and explanation

Correct option: D

None of these

The correct answer is D (None of these) because solving the logarithmic equation leads to

x=8

and

y=2^{1/3}

, so

x+y = 8 + 2^{1/3}

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