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halvizo1031
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1. Homework Statement [/b]
The set of positive real numbers, R+, is a group under normal multiplication. The set of real
numbers, R, is a group under normal addition. For the sake of clarity, we'll call these groups G and H respectively.
Prove that G is isomorphic to H under the isomorphism log. (When I write
"log" it means "log(base 10)10" and you should think of it as a function/mapping from G to H).
You don't need to go overboard about proving one-to-one and onto... just appeal to things
you know about the log function.
can someone please help me on this?
The set of positive real numbers, R+, is a group under normal multiplication. The set of real
numbers, R, is a group under normal addition. For the sake of clarity, we'll call these groups G and H respectively.
Prove that G is isomorphic to H under the isomorphism log. (When I write
"log" it means "log(base 10)10" and you should think of it as a function/mapping from G to H).
You don't need to go overboard about proving one-to-one and onto... just appeal to things
you know about the log function.
Homework Equations
can someone please help me on this?