16^2n=64 eching

$$16 ^ { 2 n } = 64$$

n uchun yechish

$$n=\frac{3}{4}=0,75$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$16^{2n}=64$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(16^{2n})=\log(64)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$2n\log(16)=\log(64)$$

Ikki tarafini \log(16) ga bo‘ling.

$$2n=\frac{\log(64)}{\log(16)}$$

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

$$2n=\log_{16}\left(64\right)$$

Ikki tarafini 2 ga bo‘ling.

$$n=\frac{\frac{3}{2}}{2}$$