Whakaoti i te 16^2n=64

$$16 ^ { 2 n } = 64$$

Whakaoti mō n

$$n=\frac{3}{4}=0.75$$

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.

$$16^{2n}=64$$

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

$$\log(16^{2n})=\log(64)$$

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

$$2n\log(16)=\log(64)$$

Whakawehea ngā taha e rua ki te \log(16).

$$2n=\frac{\log(64)}{\log(16)}$$

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

$$2n=\log_{16}\left(64\right)$$

Whakawehea ngā taha e rua ki te 2.

$$n=\frac{\frac{3}{2}}{2}$$