x uchun yechish
x = \frac{\log_{2} {(90)}}{2} \approx 3,245926548
Grafik
Baham ko'rish
Klipbordga nusxa olish
2^{2x}+6=96
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
2^{2x}=90
Tenglamaning ikkala tarafidan 6 ni ayirish.
\log(2^{2x})=\log(90)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
2x\log(2)=\log(90)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
2x=\frac{\log(90)}{\log(2)}
Ikki tarafini \log(2) ga bo‘ling.
2x=\log_{2}\left(90\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=\frac{\log_{2}\left(90\right)}{2}
Ikki tarafini 2 ga bo‘ling.
Misollar
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