To find the value of \(\log_{10} 20\), we can use a calculator or logarithmic properties. However, we can get a rough estimate using the logarithm of related numbers.
Since \(10^1 = 10\) and \(10^2 = 100\), we know that: \[ 1 < \log_{10} 20 < 2 \] Calculating more precisely using the properties of logarithms: \[ \log_{10} 20 = \log_{10} (10 \times 2) = \log_{10} 10 + \log_{10} 2 = 1 + \log_{10} 2 \] Knowing that \(\log_{10} 2 \approx 0.301\), we have: \[ \log_{10} 20 \approx 1 + 0.301 = 1.301 \] Since none of the provided options (20, 2, 200, 12) are approximate values like 1.301, it seems there might have been a mistake in the options or in the types of values provided.
However, if you want the closest rounded whole number, then \( \log_{10} 20 \) is closest to 2 but does not equal it.
None of the options accurately reflect the value of \(\log_{10} 20\).