Question

f x²+ y2 = 18xy
then
prove that 2log(x-y)=4log2+log x+log y

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Answer 1

Answer:

x²+ y2 = 18xy

or, x² -2xy+y²=16xy

or, (x-y)²=2⁴xy

taking log on both sides, we get,

log (x-y)² = log 2⁴xy

or, 2log(x-y) = log2⁴ + log x +log y

or, 2log(x-y)= 4log2 + log x +log y