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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?