Whakaoti i te 2^m=62

$$2 ^ { m } = 62$$

Whakaoti mō m

$$m=\log_{2}\left(62\right)\approx 5.95419631$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Taupū Kōaro

Whakamahia ngā ture taupū me ngā taupū kōaro hei whakaoti i te whārite.

$$2^{m}=62$$

Tuhia te tau taupū kōaro o ngā taha e rua o te whārite.

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

Ko te taupū kōaro o tētahi tau ka hīkina ki tētahi pū ko te pū whakarea ki te taupū kōaro o taua tau.

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

Whakawehea ngā taha e rua ki te \log(2).

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

Mā te tikanga tātai huri pūtake \frac{\log(a)}{\log(b)}=\log_{b}\left(a\right).

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

Whakaoti mō m (complex solution)

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

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