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`(a^(log_b x))^2-5x^(log_b a)+6=0`A. `2^(log_(b)a)`B. `3^(log_(a)b)`C. `b^(log_(a)2)`D. `a^(log_(b)3)` |
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Answer» Correct Answer - B::C `(a^(log_(b)a))^(2)-5x^(log_(b)a)+6=0` `implies(x^(log_(b)a))^(2)-5x^(log_(b)a)+6-0` put `(x^(log_(b)a))=t` `impliest^(2)-5t+6=0implies(t-2)(t-3)=0` `impliest=2` to `t=3` `implieslog_(b)x=log_(a)2` `impliesx=b^(log_(a)2)=2^(log_(a)b)` similarly for `t=3` `x=b^(log_(a)3)=3^(log_(a)b)` |
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