InterviewSolution
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InterviewSolution
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The smallest integral x satisfying the inequality `(1-log_(4)x)/(1+log_(2)x)le (1)/(2)x is.A. `sqrt(2)`B. 2C. 3D. 4 |
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Answer» Correct Answer - B Let `log_(2)x=t` `therefore (1-(t//2))/(1+t)le(1)/(2)` `rArr (2-t)/(1+t)le 1` `rArr (2-t)/(1+t)-1le 0` `rArr (2t-1)/(t+1)ge 0` `rArr t lt -1` or `t ge (1)/(2)` `rArr log_(2)x gt-1` or `log_(2)x ge (1)/(2)` `rArr 0 lt x lt (1)/(2)` or `x ge sqrt(2)` `rArr` smallest integer is 2 |
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