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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.