3^4n=81 eching

$$3 ^ { 4 n } = 81$$

n uchun yechish

$$n=1$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$3^{4n}=81$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(3^{4n})=\log(81)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$4n\log(3)=\log(81)$$

Ikki tarafini \log(3) ga bo‘ling.

$$4n=\frac{\log(81)}{\log(3)}$$

Asosiy tenglamani almashtirish orqali \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

$$4n=\log_{3}\left(81\right)$$

Ikki tarafini 4 ga bo‘ling.

$$n=\frac{4}{4}$$