7^2y=12 eching

$$7 ^ { 2 y } = 12$$

y uchun yechish

$$y=\frac{\log_{7}\left(12\right)}{2}\approx 0,638494704$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$7^{2y}=12$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(7^{2y})=\log(12)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$2y\log(7)=\log(12)$$

Ikki tarafini \log(7) ga bo‘ling.

$$2y=\frac{\log(12)}{\log(7)}$$

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

$$2y=\log_{7}\left(12\right)$$

Ikki tarafini 2 ga bo‘ling.

$$y=\frac{\log_{7}\left(12\right)}{2}$$