e^xpi=1 eching

$${ e }^{ x \pi } =1$$

x uchun yechish

$$x=0$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$e^{\pi x}=1$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(e^{\pi x})=\log(1)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$\pi x\log(e)=\log(1)$$

Ikki tarafini \log(e) ga bo‘ling.

$$\pi x=\frac{\log(1)}{\log(e)}$$

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

$$\pi x=\log_{e}\left(1\right)$$

Ikki tarafini \pi ga bo‘ling.

$$x=\frac{0}{\pi }$$

x uchun yechish (complex solution)

$$x=2n_{1}i$$

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