Step-by-step explanation:
x² + y² = 7xy
adding 2xy both sides
=> x² + y² + 2xy = 7xy + 2xy
=> (x + y)² = 9xy
Taking log both sides
=> log (x + y)² = log (9xy)
=> 2log(x + y) = log 9 + logx + logy
=> 2log(x + y) = log 3² + logx + logy
=> 2log(x + y) =2 log 3 + logx + logy
=> 2log(x + y) = logx + logy + 2Log3
QED
Proved
Learn more:
If x=log(a+b) y=log(ab) z=log(a²-b²).
brainly.in/question/13203506
the value of 2^(log 2, 5) -5^(log 3 ,2)
brainly.in/question/9531517
Answer:
2log(X+Y)
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Answers & Comments
2log(x + y) = logx + logy + 2Log3 if x² + y² = 7xy
Step-by-step explanation:
x² + y² = 7xy
adding 2xy both sides
=> x² + y² + 2xy = 7xy + 2xy
=> (x + y)² = 9xy
Taking log both sides
=> log (x + y)² = log (9xy)
=> 2log(x + y) = log 9 + logx + logy
=> 2log(x + y) = log 3² + logx + logy
=> 2log(x + y) =2 log 3 + logx + logy
=> 2log(x + y) = logx + logy + 2Log3
QED
Proved
Learn more:
If x=log(a+b) y=log(ab) z=log(a²-b²).
brainly.in/question/13203506
the value of 2^(log 2, 5) -5^(log 3 ,2)
brainly.in/question/9531517
Answer:
2log(X+Y)
Step-by-step explanation:
mark as brilliant