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27^{2x}=98
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(27^{2x})=\log(98)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
2x\log(27)=\log(98)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
2x=\frac{\log(98)}{\log(27)}
Ikki tarafini \log(27) ga bo‘ling.
2x=\log_{27}\left(98\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=\frac{\log_{3}\left(98\right)}{2\times 3}
Ikki tarafini 2 ga bo‘ling.