(Answered) How do you determine if a utility function is homothetic i

Economics

How do you determine if a utility function is homothetic? I understand that definitions say that if the MRS depends only on the ratio of the two goods, then the utility function is homothetic. Yet I have trouble understanding how to actually apply this definition. So A is indifferent between bundles satisfying:

(Y/K)+ln(X/K)=2 where X, Y >0 and (X, Y are the goods)

is this utility function homothetic? if so, why?

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