12. If log 12. If log**) (10g x + l...
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12. If log 12. If log**) (10g x + log »), then (a) 59 (b) 32 (c) 47 (d) 10

JEE/Engineering Exams
Maths
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( log left(frac{x+y}{7}right)=frac{1}{2}(log x+log y) ) s) loy ( left(frac{x+y}{7}right)=log (x y)^{1 / 2} ) ( Rightarrow log left(frac{x+y}{7}right)^{2}=x y ) ( Rightarrow ) ( x^{2}+y^{2}+2 x y=(7)^{2} x y ) ( frac{x}{y}+frac{y}{x}+2=49 ) ( =sqrt{frac{x}{y}+frac{y}{x}}=49-2=47 )
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