簡約 1/3 (log_{10}(x)-2log_{10}(y))

解

簡約

\frac{1}{3} (lo g_{10} (x) - 2 lo g_{10} (y))

\frac{lo g _{10} ( x ) - 2 lo g _{10} ( y )}{3}

解答ステップ

\frac{1}{3} (lo g_{10} (x) - 2 lo g_{10} (y))

分配法則を適用する:

a (b - c) = ab - a c

\frac{1}{3} (lo g_{10} (x) - 2 lo g_{10} (y)) = \frac{1}{3} lo g_{10} (x) - \frac{1}{3} \cdot 2 lo g_{10} (y)

= \frac{1}{3} lo g_{10} (x) - \frac{1}{3} \cdot 2 lo g_{10} (y)

簡素化

\frac{1}{3} lo g_{10} (x) - \frac{1}{3} \cdot 2 lo g_{10} (y) : \frac{lo g _{10} ( x ) - 2 lo g _{10} ( y )}{3}

= \frac{lo g _{10} ( x ) - 2 lo g _{10} ( y )}{3}