x uchun yechish
x=\frac{1-2\ln(2)}{3}\approx -0,128764787
x uchun yechish (complex solution)
x=-\frac{i\times 2\pi n_{1}}{3}-\frac{2\ln(2)}{3}+\frac{1}{3}
n_{1}\in \mathrm{Z}
Grafik
Baham ko'rish
Klipbordga nusxa olish
e^{-3x+1}=4
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(e^{-3x+1})=\log(4)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
\left(-3x+1\right)\log(e)=\log(4)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
-3x+1=\frac{\log(4)}{\log(e)}
Ikki tarafini \log(e) ga bo‘ling.
-3x+1=\log_{e}\left(4\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
-3x=2\ln(2)-1
Tenglamaning ikkala tarafidan 1 ni ayirish.
x=\frac{2\ln(2)-1}{-3}
Ikki tarafini -3 ga bo‘ling.
Misollar
Ikkilik tenglama
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Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
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Differensatsiya
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Oʻngga
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Chegaralar
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