6^-3n-3=216 eching

$$6 ^ { - 3 n - 3 } = 216$$

n uchun yechish

$$n=-2$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$6^{-3n-3}=216$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(6^{-3n-3})=\log(216)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$\left(-3n-3\right)\log(6)=\log(216)$$

Ikki tarafini \log(6) ga bo‘ling.

$$-3n-3=\frac{\log(216)}{\log(6)}$$

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

$$-3n-3=\log_{6}\left(216\right)$$

3 ni tenglamaning ikkala tarafiga qo'shish.

$$-3n=3-\left(-3\right)$$

Ikki tarafini -3 ga bo‘ling.

$$n=\frac{6}{-3}$$