Whakaoti i te 6^2p=6^3

$$6 ^ { 2 p } = 6 ^ { 3 }$$

Whakaoti mō p

$$p = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

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.

$$6^{2p}=216$$

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

$$\log(6^{2p})=\log(216)$$

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

$$2p\log(6)=\log(216)$$

Whakawehea ngā taha e rua ki te \log(6).

$$2p=\frac{\log(216)}{\log(6)}$$

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

$$2p=\log_{6}\left(216\right)$$

Whakawehea ngā taha e rua ki te 2.

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