(16)^2x=589824 eching

$$( 16 ) ^ { 2 x } = 589824$$

x uchun yechish

$$x = \frac{\log_{2} {(3)} + 8}{4} \approx 2,396240625$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$16^{2x}=589824$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(16^{2x})=\log(589824)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$2x\log(16)=\log(589824)$$

Ikki tarafini \log(16) ga bo‘ling.

$$2x=\frac{\log(589824)}{\log(16)}$$

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

$$2x=\log_{16}\left(589824\right)$$

Ikki tarafini 2 ga bo‘ling.

$$x=\frac{\log_{2}\left(768\right)}{2\times 2}$$