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A-mapping-is-defined-as-G-S-where-G-and-S-show-that-the-mapping-f-x-ln-x-is-an-isomophism-




Question Number 131343 by physicstutes last updated on 03/Feb/21
A mapping is defined as G→S where (G,×) and (S,+),   show that the mapping f(x) = ln x is an isomophism.
AmappingisdefinedasGSwhere(G,×)and(S,+),showthatthemappingf(x)=lnxisanisomophism.
Answered by mindispower last updated on 04/Feb/21
isomlrphisme is bijection  morphisme  without knowing G and S we can say just  f(1)=0  f(xy)=f(x)+f(y) if x,y>0
isomlrphismeisbijectionmorphismewithoutknowingGandSwecansayjustf(1)=0f(xy)=f(x)+f(y)ifx,y>0