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The solution of the equation `(log)_7(log)_5(sqrt(x+5)+sqrt(x))=0`is ... (1986, 2M) |
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Answer» Correct Answer - 4 Given equation is `log_(7)log_(5)(sqrt(x+5)+sqrt(x))=0 rArr log_(5)(sqrt(x+5)+sqrt(x))=1` `rArr sqrt(x+5)+sqrt(x)=5 rArr sqrt(x+5) =5-sqrt(x)` `rArr x+5=25+x-10sqrt(x) rArr 10sqrt(x)=20 rArr sqrt(x) =2` `therefore x=4` |
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