1.

Show that f(x) = log_a x "on" (0,oo ),(a gt 0 "and" a != 1) functions are injective.

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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