簡約 ln(1/(sqrt(2pi\det(x))))

解

簡約

ln (\frac{1}{2 \cdot π \cdot det ( x )})

- ln (2 π det (x))

解答ステップ

ln (\frac{1}{2 π det ( x )})

対数の規則を適用する:

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

ln (\frac{1}{2 π det ( x )}) = ln (1) - ln (2 π det (x))

= ln (1) - ln (2 π det (x))

対数の規則を適用する:

lo g_{a} (1) = 0

= 0 - ln (2 π det (x))

2 π det (x) = 2 π det (x)

= 0 - ln (2 π det (x))

0 - ln (2 π det (x)) = - ln (2 π det (x))

= - ln (2 π det (x))