Let (IR,+) be a group of real numbers under addition and (R+,-) be the group of positivereal numbers under multiplication. Prove f: R→ R+ by f (x)= ex for all x ER ishomomorphism and isomorphism.

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Answered: Let (IR, +) be a group of real numbers…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 9E: 9. Let be a group of all nonzero real numbers under multiplication. Find a subset of that is...

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Let (IR, +) be a group of real numbers under addition and (R+,-) be the group of positive real numbers under multiplication. Prove f: R→ R+ by f (x)= ex for all x ER is homomorphism and isomorphism.