Which of these four log expressions is the smallest?

Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Which is the smallest of these values?

1. \(\log_{10}\pi\),

2. \(\sqrt{\log_{10}(\pi^2)}\),

3. \(\left(\dfrac{1}{\log_{10}\pi}\right)^3\),

4. \(\dfrac{1}{\log_{10}\sqrt{\pi}}\).

Can we rewrite the expressions using the laws of logs and indices? Is the substitution \(L = \log_{10}\pi\) helpful to us?