x uchun yechish
x=2
Grafik
Baham ko'rish
Klipbordga nusxa olish
3^{-2x+8}=81
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(3^{-2x+8})=\log(81)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
\left(-2x+8\right)\log(3)=\log(81)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
-2x+8=\frac{\log(81)}{\log(3)}
Ikki tarafini \log(3) ga bo‘ling.
-2x+8=\log_{3}\left(81\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
-2x=4-8
Tenglamaning ikkala tarafidan 8 ni ayirish.
x=-\frac{4}{-2}
Ikki tarafini -2 ga bo‘ling.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
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Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
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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