Easy -1.8 This is a straightforward logarithm laws question requiring only recall and application of basic rules (log(1/x) = -log(x), log(x^n) = n·log(x)). It's a 1-mark multiple choice question with no problem-solving or extended reasoning needed—significantly easier than average A-level questions.
Given that \(a > 0\), determine which of these expressions is not equivalent to the others.
Circle your answer.
[1 mark]
$$-2\log_{10}\left(\frac{1}{a}\right) \quad 2\log_{10}(a) \quad \log_{10}(a^2) \quad -4\log_{10}(\sqrt{a})$$
Given that $a > 0$, determine which of these expressions is not equivalent to the others.
Circle your answer.
[1 mark]
$$-2\log_{10}\left(\frac{1}{a}\right) \quad 2\log_{10}(a) \quad \log_{10}(a^2) \quad -4\log_{10}(\sqrt{a})$$
\hfill \mbox{\textit{AQA Paper 1 2019 Q1 [1]}}