Gujarati
4-2.Quadratic Equations and Inequations
medium

दि ${\log _2}x + {\log _x}2 = \frac{{10}}{3} = {\log _2}y + {\log _y}2$ तथा $x \ne y,$ तब $x + y =$

A

$2$

B

$65/8$

C

$37/6$

D

इनमें से कोई नहीं

Solution

(d) ${\log _2}x + \frac{1}{{{{\log }_2}x}} = 3 + \frac{1}{3} = {\log _2}y + \frac{1}{{{{\log }_2}y}}$

$\therefore$ ${\log _2}x = 3,{\log _2}y = \frac{1}{3}$ $(\because x \ne y)$

$\Rightarrow$ $x = {2^3}$ एवं $y = {2^{1/3}} $

$\Rightarrow x + y = 8 + {2^{1/3}}$.

Standard 11
Mathematics

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