x uchun yechish
x=3
x uchun yechish (complex solution)
x=\frac{2\pi n_{1}i}{\ln(5)}+3
n_{1}\in \mathrm{Z}
Grafik
Baham ko'rish
Klipbordga nusxa olish
5^{x}=125
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(5^{x})=\log(125)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
x\log(5)=\log(125)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
x=\frac{\log(125)}{\log(5)}
Ikki tarafini \log(5) ga bo‘ling.
x=\log_{5}\left(125\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
Misollar
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