簡約 ln(Ke^{6x+1})

解

簡約

ln (K e^{6 x + 1})

ln (K) + 6 x + 1

解答ステップ

ln (K e^{6 x + 1})

対数の規則を適用する:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (K e^{6 x + 1}) = ln (K) + ln (e^{6 x + 1})

= ln (K) + ln (e^{6 x + 1})

対数の規則を適用する:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{6 x + 1}) = (6 x + 1) ln (e)

= ln (K) + (6 x + 1) ln (e)

(6 x + 1) ln (e) = 6 x + 1

= ln (K) + 6 x + 1