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Show that f(x) = log_a x "on" (0,oo ),(a gt 0 "and" a != 1) functions are injective. |
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Answer» Solution :`f(X)=log_a x[1,OO]` ` "for" ALPHA,beta in [1, oo]` `"LET" f(alpha)=f(beta) ` `implieslog_a alpha = log_alpha beta IMPLIES alpha = beta ` `:." F is one -to one".` |
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