2^r=1/14 eching

$$2 ^ { r } = \frac { 1 } { 14 }$$

r uchun yechish

$$r=-\log_{2}\left(14\right)\approx -3,807354922$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$2^{r}=\frac{1}{14}$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(2^{r})=\log(\frac{1}{14})$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$r\log(2)=\log(\frac{1}{14})$$

Ikki tarafini \log(2) ga bo‘ling.

$$r=\frac{\log(\frac{1}{14})}{\log(2)}$$

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

$$r=\log_{2}\left(\frac{1}{14}\right)$$