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1.If log x+y/3 = 1l2logx+logy, then find the value of x/y+y/x.
 
2.If (2.3)x=(0.23)y=1000 then find the value of 1/x-1/y

 
 

3.If 2x+1=31-x then find the value of x

Asked by Praveen 23rd June 2015, 6:20 AM
Answered by Expert
Answer:
Please ask one query in a single post. The explanation for the first question is given below.
 
log open parentheses fraction numerator x plus y over denominator 3 end fraction close parentheses equals 1 half open parentheses log x plus log y close parentheses rightwards double arrow log open parentheses fraction numerator x plus y over denominator 3 end fraction close parentheses equals 1 half log x y rightwards double arrow log open parentheses fraction numerator x plus y over denominator 3 end fraction close parentheses equals log square root of x y end root rightwards double arrow fraction numerator x plus y over denominator 3 end fraction equals square root of x y end root rightwards double arrow fraction numerator x plus y over denominator square root of x y end root end fraction equals 3 rightwards double arrow fraction numerator square root of x over denominator square root of y end fraction plus fraction numerator square root of y over denominator square root of x end fraction equals 3 S q u a r i n g space b o t h space s i d e s comma space w e space g e t x over y plus y over x plus 2 equals 9 rightwards double arrow x over y plus y over x equals 7
Answered by Expert 23rd June 2015, 11:08 AM
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