1418519125=106^x eching

$$1418519125= { 106 }^{ x }$$

x uchun yechish

$$x=\log_{106}\left(1418519125\right)\approx 4,518742256$$

Logaritm ifodasidan foydalanish qadamlari

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$106^{x}=1418519125$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(106^{x})=\log(1418519125)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$x\log(106)=\log(1418519125)$$

Ikki tarafini \log(106) ga bo‘ling.

$$x=\frac{\log(1418519125)}{\log(106)}$$

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

$$x=\log_{106}\left(1418519125\right)$$

x uchun yechish (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(106)}+\log_{106}\left(1418519125\right)$$

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