4^3m=16 eching

$$4 ^ { 3 m } = 16$$

m uchun yechish

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

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$4^{3m}=16$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(4^{3m})=\log(16)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$3m\log(4)=\log(16)$$

Ikki tarafini \log(4) ga bo‘ling.

$$3m=\frac{\log(16)}{\log(4)}$$

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

$$3m=\log_{4}\left(16\right)$$

Ikki tarafini 3 ga bo‘ling.

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