e^x=3 eching

$$e ^ { x } = 3$$

x uchun yechish

$$x=\ln(3)\approx 1,098612289$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$e^{x}=3$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(e^{x})=\log(3)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$x\log(e)=\log(3)$$

Ikki tarafini \log(e) ga bo‘ling.

$$x=\frac{\log(3)}{\log(e)}$$

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

$$x=\log_{e}\left(3\right)$$

x uchun yechish (complex solution)

$$x=\ln(3)+2\pi n_{1}i$$

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