Does \(\displaystyle{{\log}_{{b}}{\left({x}\right)}}={{\log}_{{b}}{\left({y}\right)}}\rightarrow{x}={y}\)?

Marzadri9lyy

Marzadri9lyy

Answered question

2022-04-05

Does logb(x)=logb(y)x=y?

Answer & Explanation

Luciana Cline

Luciana Cline

Beginner2022-04-06Added 14 answers

Yes it does, by the following argument: Suppose that logb(x)=logb(y). Then blogb(x)=blogb(y). But now (by the definition of logb()) we know that blogb(x)=x, so we conclude that x=y as required.

pautmndu

pautmndu

Beginner2022-04-07Added 10 answers

Yes because blogby=blogbxy=x.

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