InterviewSolution
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InterviewSolution
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If `(sqrt(2))^(x)+(sqrt(3))^(x)=(sqrt(13))^(x//2)`, then the number of real values of x isA. 2B. 4C. 1D. None of these |
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Answer» Correct Answer - C We have, `(sqrt(2))^(x)+(sqrt(3))^(x)=(sqrt(13))^(x//2)` `implies 2^(x//2)+3^(x//2)=(sqrt(13))^(x//2)` `implies ((2)/(sqrt(13)))^(x//2)+((3)/(sqrt(13)))^(x//2)=((2)/(sqrt(13)))^(2)+((3)/(sqrt(13)))^(2)` `implies(x)/(2)=2 " "`[On comparison] `implies x=4`. |
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