(104)^2n=2 eching

$$( 104 ) ^ { 2 n } = 2$$

n uchun yechish

$$n=\frac{\log_{104}\left(2\right)}{2}\approx 0,074621968$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$104^{2n}=2$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(104^{2n})=\log(2)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$2n\log(104)=\log(2)$$

Ikki tarafini \log(104) ga bo‘ling.

$$2n=\frac{\log(2)}{\log(104)}$$

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

$$2n=\log_{104}\left(2\right)$$

Ikki tarafini 2 ga bo‘ling.

$$n=\frac{\log_{104}\left(2\right)}{2}$$