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The equation `(log_(8)((8)/(x^(2))))/((log_(8)x)^(2))=3` hasA. no integral solutionB. one natural solutionC. two real solutionsD. one irrational solution |
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Answer» Correct Answer - B::C `(log_(8)((8)/(x^(2))))/((log_(8)^(x))^(2))implieslog_(8)8-log_(6)x^(2))/((log_(8)x)^(2))=3` put `log_(8)x=t` Equation because `(1-2t)/(t^(2))=3` `implies3t^(2)+2t-1=0` `impliest=-1,(1)/(3)` `log_(8)x=-1impliesx=(1)/(8)` ltbr and `log_(8)x=(1)/(3)impliex=2` |
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