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If-x-200-lt-3-300-then-greatest-possible-integral-value-of-x-is-




Question Number 75840 by gugum last updated on 18/Dec/19
If  x^(200)  < 3^(300)  , then greatest possible  integral value of   x  is _____.
Ifx200<3300,thengreatestpossibleintegralvalueofxis_____.
Answered by mr W last updated on 19/Dec/19
x^(200) <3^(300)   (x^2 )^(100) <(3^3 )^(100)   x^2 <3^3 =27  x<(√(27))  x≤5  ⇒x_(max) =5
x200<3300(x2)100<(33)100x2<33=27x<27x5xmax=5

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