Whakaoti i te 3^-p-2=27

$$3 ^ { - p - 2 } = 27$$

Whakaoti mō p

$$p=-5$$

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.

$$3^{-p-2}=27$$

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

$$\log(3^{-p-2})=\log(27)$$

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

$$\left(-p-2\right)\log(3)=\log(27)$$

Whakawehea ngā taha e rua ki te \log(3).

$$-p-2=\frac{\log(27)}{\log(3)}$$

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

$$-p-2=\log_{3}\left(27\right)$$

Me tāpiri 2 ki ngā taha e rua o te whārite.

$$-p=3-\left(-2\right)$$

Whakawehea ngā taha e rua ki te -1.

$$p=\frac{5}{-1}$$