(4) Let R+ denote the set of all positive real numbers. For all x, y € R+, define x+y=xy and r@y=logy (a) With these ope

[answerhappygod]

4 Let R Denote The Set Of All Positive Real Numbers For All X Y R Define X Y Xy And R Y Logy A With These Ope 1 (83.89 KiB) Viewed 30 times

(4) Let R+ denote the set of all positive real numbers. For all x, y € R+, define x+y=xy and r@y=logy (a) With these operations, does R+ have an additive identity? If so, what is it? (b) Does R+ have a multiplicative identity? If so, what is it? (c) Is R+ a ring with the operations defined above? Prove your answer.