108^y=136 eching

$$108 ^ { y } = 136$$

y uchun yechish

$$y=\log_{108}\left(136\right)\approx 1,049234771$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$108^{y}=136$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(108^{y})=\log(136)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$y\log(108)=\log(136)$$

Ikki tarafini \log(108) ga bo‘ling.

$$y=\frac{\log(136)}{\log(108)}$$

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

$$y=\log_{108}\left(136\right)$$

y uchun yechish (complex solution)

$$y=\frac{2\pi n_{1}i}{\ln(108)}+\log_{108}\left(136\right)$$

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