7. If log, log.s(V2 + 8) = =-. Then...
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7. If log, log.s(V2 + 8) = =-. Then the value of'x" (A) is a perfect square (C) relatively prime with 25 (B) is a composite number (D) is a prime number

JEE/Engineering Exams
Maths
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( log _{18}(sqrt{2}+2 sqrt{2})=x^{1 / 2}=frac{1}{sqrt{x}} ) ( =3 cdot 3 sqrt{2=18^{frac{1}{3 x}}} ) ( Rightarrow quad(18)^{frac{1}{2}}=18^{frac{1}{5 x}} ) ( Rightarrow quad sqrt{x}=2 ) ( Rightarrow x=4+quad=1,13,6 )
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