30=2^x eching

$$30 = 2 ^ { x }$$

x uchun yechish

$$x=\log_{2}\left(30\right)\approx 4,906890596$$

Logaritm ifodasidan foydalanish qadamlari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$2^{x}=30$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(2^{x})=\log(30)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$x\log(2)=\log(30)$$

Ikki tarafini \log(2) ga bo‘ling.

$$x=\frac{\log(30)}{\log(2)}$$

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

$$x=\log_{2}\left(30\right)$$

x uchun yechish (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(30\right)$$

$$n_{1}\in \mathrm{Z}$$