4^3-p=16 eching

$$4 ^ { 3 - p } = 16$$

p uchun yechish

$$p=1$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$4^{-p+3}=16$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(4^{-p+3})=\log(16)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$\left(-p+3\right)\log(4)=\log(16)$$

Ikki tarafini \log(4) ga bo‘ling.

$$-p+3=\frac{\log(16)}{\log(4)}$$

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

$$-p+3=\log_{4}\left(16\right)$$

Tenglamaning ikkala tarafidan 3 ni ayirish.

$$-p=2-3$$

Ikki tarafini -1 ga bo‘ling.

$$p=-\frac{1}{-1}$$