2^m=62 eching

$$2 ^ { m } = 62$$

m uchun yechish

$$m=\log_{2}\left(62\right)\approx 5,95419631$$

Logaritm ifodasidan foydalanish qadamlari

Tenglamani yechish uchun eksponent va logaritmlarning qoidalaridan foydalanish.

$$2^{m}=62$$

Tenglamaning ikkala tarafiga tegishli logaritmni chiqarish.

$$\log(2^{m})=\log(62)$$

Darajaga ko'tarigan logaritm raqami raqam logaritmining darajasidir.

$$m\log(2)=\log(62)$$

Ikki tarafini \log(2) ga bo‘ling.

$$m=\frac{\log(62)}{\log(2)}$$

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

$$m=\log_{2}\left(62\right)$$

m uchun yechish (complex solution)

$$m=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(62\right)$$

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