Whakaoti i te 7^2y=12

$$7 ^ { 2 y } = 12$$

Whakaoti mō y

$$y=\frac{\log_{7}\left(12\right)}{2}\approx 0.638494704$$

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.

$$7^{2y}=12$$

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

$$\log(7^{2y})=\log(12)$$

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

$$2y\log(7)=\log(12)$$

Whakawehea ngā taha e rua ki te \log(7).

$$2y=\frac{\log(12)}{\log(7)}$$

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

$$2y=\log_{7}\left(12\right)$$

Whakawehea ngā taha e rua ki te 2.

$$y=\frac{\log_{7}\left(12\right)}{2}$$