e^99x=4879 eching

$$e ^ { 99 x } = 4879$$

x uchun yechish

$$x=\frac{\ln(4879)}{99}\approx 0,085784804$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$e^{99x}=4879$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(e^{99x})=\log(4879)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$99x\log(e)=\log(4879)$$

Ikki tarafini \log(e) ga bo‘ling.

$$99x=\frac{\log(4879)}{\log(e)}$$

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

$$99x=\log_{e}\left(4879\right)$$

Ikki tarafini 99 ga bo‘ling.

$$x=\frac{\ln(4879)}{99}$$

x uchun yechish (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{99}+\frac{\ln(4879)}{99}$$

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