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`x^([log_(3) x^(2)+(log _(3) x)^(2) -10]) = 1/x^(2)` हो , तो x का मान बराबर हैA. 3B. 9C. 27D. 81 |
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Answer» Correct Answer - B `x^([(2 log _(3) x )+(log_(3) x)^(2) - 10])=x^((-2))` ` rArr 2 log_(3) x + (log_(3) x)^(2) - 10 = - 2` ` rArr y^(2) + 2y - 8 = 0 , ` जहाँ ` y = log_(3) x` ` rArr (y -2) (y+4) = 0 rArr y = 2` अथवा ` y = - 4` ` rArr log_(3) x = 2 ` अथवा ` log_(3) x = - 4` ` rArr x = 3^(2)` अथवा ` x = 3^(-4)` अर्थात x = 9 और ` x = 1/81` |
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