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Home / Doubts and Solutions/JEE/Mathematics

Log^2(4-x)+log(4-x).log(x+1/2)-2log^2(x+1/2)=0 , find x

Asked by m.nilu 11th July 2018, 7:02 PM
Answered by Expert
Answer:
begin mathsize 16px style open square brackets log left parenthesis 4 minus straight x right parenthesis close square brackets squared plus log open parentheses 4 minus straight x close parentheses log open parentheses straight x plus 1 half close parentheses minus 2 open square brackets log open parentheses straight x plus 1 half close parentheses close square brackets squared equals 0 Let space log left parenthesis 4 minus straight x right parenthesis equals straight m space and space log open parentheses straight x plus 1 half close parentheses equals straight n straight m squared plus mn minus 2 straight n squared equals 0 straight m squared plus 2 mn minus mn minus 2 straight n squared equals 0 straight m left parenthesis straight m plus 2 straight n right parenthesis minus straight m left parenthesis straight m plus 2 straight n right parenthesis equals 0 left parenthesis straight m plus 2 straight n right parenthesis left parenthesis straight m minus straight n right parenthesis equals 0 Put space values space of space straight m space and space straight n space in space the space above space equation space and space solve space it space for space straight x. end style
Answered by Expert 12th July 2018, 10:29 AM
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