1 + 2log10310^{3}103
= log1010+log103210^{10} + \log_{10}^{3^{2}}1010+log1032
= log1010+log10910^{10} + \log_{10}^{9}1010+log109
= log1010×9010^{10 \times 90}1010×90 = log109010^{90}1090