簡約 2/3log_{10}(7.7110^{28})-9.1

解

簡約

\frac{2}{3} \cdot lo g_{10} (7.71 \cdot 1 0^{28}) - 9.1

\frac{2}{3} lo g_{10} (771) + \frac{247}{30}

十進法表記

10.15803 \dots

解答ステップ

\frac{2}{3} lo g_{10} (7.71 \cdot 1 0^{28}) - 9.1

9.1 = \frac{91}{10}

= \frac{2}{3} lo g_{10} (7.71 \cdot 1 0^{28}) - \frac{91}{10}

lo g_{10} (7.71 \cdot 1 0^{28}) = lo g_{10} (771) + 26

= \frac{2}{3} (lo g_{10} (771) + 26) - \frac{91}{10}

拡張

\frac{2}{3} (lo g_{10} (771) + 26) - \frac{91}{10} : \frac{2}{3} lo g_{10} (771) + \frac{247}{30}

= \frac{2}{3} lo g_{10} (771) + \frac{247}{30}