Given this log equation, when can $a$ be largest?

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Given that \(a\) and \(b\) are positive and \[4(\log_{10}a)^2+(\log_{10}b)^2=1\] then the greatest possible value of \(a\) is

1. \(\frac{1}{10}\),

2. \(1\),

3. \(\sqrt{10}\),

4. \(10^{\sqrt{2}}\).