Abstract Algebra - Groups ?

  • Thread starter Thread starter urlo2221
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urlo2221

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Define the operation * on G by
a*b = a^(ln b), for all a,b Є G

Ive been able to show that it has an identity.....s.t. e=e^1
& that it is associative, However I'm having trouble figuring out how
b = inverse element of a.....s.t. a^(ln (of the inverse)) = e^1 (the Identity). Any help is greatly appreciated!
 
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