x uchun yechish
x=\frac{\log_{3}\left(6\right)-4}{2}\approx -1,184535123
Grafik
Baham ko'rish
Klipbordga nusxa olish
9^{x+2}=6
Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.
\log(9^{x+2})=\log(6)
Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.
\left(x+2\right)\log(9)=\log(6)
Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.
x+2=\frac{\log(6)}{\log(9)}
Ikki tarafini \log(9) ga bo‘ling.
x+2=\log_{9}\left(6\right)
Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).
x=\frac{\log_{3}\left(6\right)}{2}-2
Tenglamaning ikkala tarafidan 2 ni ayirish.
Misollar
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Matritsa
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Oʻngga
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Chegaralar
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