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If `12^(4+2x^(2)) = (24sqrt(3))^(3x^(2)-2)`, then x is equal toA. `+- sqrt((13)/(12))`B. `+- sqrt((14)/(5))`C. `+- ((12)/(13))`D. `+- sqrt((5)/(14))` |
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Answer» Correct Answer - B If `12^(4+2x^(2) = (24sqrt(3))^(3x^(2)-2)` ………. Given `12^(4+2x^(2)) = (24sqrt(3))^(3x^(2)-2)` `implies 12^(4+2x^(2))= (12)^((3)/(2)(3x^(2)-2))` `implies 4+2x^(2) = (3)/(2) (3x^(2)-2) implies 8+4x^(2)=9x^(2)-6` `implies 5x^(2) = 14 implies x = += sqrt((14)/(5))` |
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