8^n=8 eching

$$8 ^ { n } = 8$$

n uchun yechish

$$n=1$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$8^{n}=8$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(8^{n})=\log(8)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$n\log(8)=\log(8)$$

Ikki tarafini \log(8) ga bo‘ling.

$$n=\frac{\log(8)}{\log(8)}$$

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

$$n=\log_{8}\left(8\right)$$

n uchun yechish (complex solution)

$$n=\frac{2\pi n_{1}i}{3\ln(2)}+1$$

$$n_{1}\in \mathrm{Z}$$