x uchun yechish
x=\frac{\log_{5}\left(15\right)}{2}\approx 0,841303097
Grafik
Baham ko'rish
Klipbordga nusxa olish
5^{2x}=15
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(5^{2x})=\log(15)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
2x\log(5)=\log(15)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
2x=\frac{\log(15)}{\log(5)}
Ikki tarafini \log(5) ga bo‘ling.
2x=\log_{5}\left(15\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=\frac{\log_{5}\left(15\right)}{2}
Ikki tarafini 2 ga bo‘ling.
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