x uchun yechish
x=\frac{\log(5)}{4}\approx 0,174742501
x uchun yechish (complex solution)
x=\frac{\pi n_{1}i}{2\ln(10)}+\frac{\log_{10}\left(5\right)}{4}
n_{1}\in \mathrm{Z}
Grafik
Baham ko'rish
Klipbordga nusxa olish
10^{4x}=5
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(10^{4x})=\log(5)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
4x\log(10)=\log(5)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
x=\frac{\log(5)}{4}
Ikki tarafini 4 ga bo‘ling.
Misollar
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