InterviewSolution
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InterviewSolution
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The values of x, satisfying the equation for `AA a > 0, 2log_(x) a + log_(ax) a +3log_(a^2 x)a=0` are |
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Answer» Correct Answer - `x=a^(-1//2)or a^(-4//3)` The given equation can be rewritten as `(12)/(log_(a)x)+(1)/(log_(a)ax)+(3)/(log_(a)x)=0` `implies1/t+(1)/(1+t)+(3)/(2+t)=0, where t =log_(a)x` `implies2(1+t)(2+t)+3t(1+t)+t(2+t)=0` `implies6t^(2)+11t+4=0` `implies(2t+1)(3t+4)=0` `impliest=-1/2or log_(a)x=-4/3` `impliesx=a^(-1//2)` `or x=a^(-4//3)` |
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