6^2p=6^3 eching

$$6 ^ { 2 p } = 6 ^ { 3 }$$

p uchun yechish

$$p = \frac{3}{2} = 1\frac{1}{2} = 1,5$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$6^{2p}=216$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(6^{2p})=\log(216)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$2p\log(6)=\log(216)$$

Ikki tarafini \log(6) ga bo‘ling.

$$2p=\frac{\log(216)}{\log(6)}$$

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

$$2p=\log_{6}\left(216\right)$$

Ikki tarafini 2 ga bo‘ling.

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