5. If x² + y2= 25xy, then prove that 2 log(x + y) = 3log3 + logx + logy.
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Answer:
x^2+y^2=25xy
adding 2xy on both sides
x^2+y^2+2xy=27xy
(x+y) ^2=27xy
taking log both sides
log (x+y) ^2=log 27xy
2 log (x+y) = log 3^3+ log x +log y
2 log (x+y) = 3 log 3 + log x+log y
Step-by-step explanation:
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