簡約 (log_{10}(16-x^2))/(log_{10)(3x-4)}

解

簡約

\frac{lo g _{10} ( 16 - x ^{2} )}{lo g _{10} ( 3 x - 4 )}

lo g_{3 x - 4} (16 - x^{2})

解答ステップ

\frac{lo g _{10} ( 16 - x ^{2} )}{lo g _{10} ( 3 x - 4 )}

対数の規則を適用する:

\frac{lo g _{c} ( b )}{lo g _{c} ( a )} = lo g_{a} (b)

\frac{lo g _{10} ( 16 - x ^{2} )}{lo g _{10} ( 3 x - 4 )} = lo g_{3 x - 4} (16 - x^{2})

= lo g_{3 x - 4} (16 - x^{2})