8^x=128 eching

$${ 8 }^{ x } =128$$

x uchun yechish

$$x = \frac{7}{3} = 2\frac{1}{3} \approx 2,333333333$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$8^{x}=128$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(8^{x})=\log(128)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$x\log(8)=\log(128)$$

Ikki tarafini \log(8) ga bo‘ling.

$$x=\frac{\log(128)}{\log(8)}$$

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

$$x=\log_{8}\left(128\right)$$

x uchun yechish (complex solution)

$$x=\frac{2\pi n_{1}i}{3\ln(2)}+\frac{7}{3}$$

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