8^4x=3 eching

$$8 ^ { 4 x } = 3$$

x uchun yechish

$$x=\frac{\log_{2}\left(3\right)}{12}\approx 0,132080208$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$8^{4x}=3$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(8^{4x})=\log(3)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$4x\log(8)=\log(3)$$

Ikki tarafini \log(8) ga bo‘ling.

$$4x=\frac{\log(3)}{\log(8)}$$

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

$$4x=\log_{8}\left(3\right)$$

Ikki tarafini 4 ga bo‘ling.

$$x=\frac{\log_{2}\left(3\right)}{3\times 4}$$