Which of the following conditions on the base must hold for the logarithm to be defined?

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Which of the following conditions on the base aa must hold for the logarithm log⁡a(x)\log_{a}(x) to be defined? (a) a>1a>1 (b) a>0a>0 (c) a>0 and a≠1a>0 \text{ and } a\neq 1 (d) a≠0 and a≠1a\neq0 \text{ and } a\neq1

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