Whakaoti i te 6^-3n-3=216

$$6 ^ { - 3 n - 3 } = 216$$

Whakaoti mō n

$$n=-2$$

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.

$$6^{-3n-3}=216$$

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

$$\log(6^{-3n-3})=\log(216)$$

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

$$\left(-3n-3\right)\log(6)=\log(216)$$

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

$$-3n-3=\frac{\log(216)}{\log(6)}$$

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

$$-3n-3=\log_{6}\left(216\right)$$

Me tāpiri 3 ki ngā taha e rua o te whārite.

$$-3n=3-\left(-3\right)$$

Whakawehea ngā taha e rua ki te -3.

$$n=\frac{6}{-3}$$