6^3m+2=1 eching

$$6 ^ { 3 m + 2 } = 1$$

m uchun yechish

$$m=-\frac{2}{3}\approx -0,666666667$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$6^{3m+2}=1$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(6^{3m+2})=\log(1)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$\left(3m+2\right)\log(6)=\log(1)$$

Ikki tarafini \log(6) ga bo‘ling.

$$3m+2=\frac{\log(1)}{\log(6)}$$

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

$$3m+2=\log_{6}\left(1\right)$$

Tenglamaning ikkala tarafidan 2 ni ayirish.

$$3m=-2$$

Ikki tarafini 3 ga bo‘ling.

$$m=-\frac{2}{3}$$