Suppose x²+y²=123xy then prove that 2log(x+y)=3log5+logx+logy
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Answered by
5
Answer:
x²+y²=123xy
add 2xy on b. s.
x²+y²+2xy=125xy
(x+y) ²=125xy
apply log on b. s.
log(x+y) ²=log 125xy
log a^m=m log a
so,
2 log(x+y) =log(5³*x*y)
2 log(x+y) =3log(5) +log x+ log y
Answered by
7
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