Whakaoti i te 3^(8-2x)=81

$${ 3 }^{ (8-2x) } =81$$

Whakaoti mō x

$$x=2$$

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.

$$3^{-2x+8}=81$$

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

$$\log(3^{-2x+8})=\log(81)$$

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

$$\left(-2x+8\right)\log(3)=\log(81)$$

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

$$-2x+8=\frac{\log(81)}{\log(3)}$$

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

$$-2x+8=\log_{3}\left(81\right)$$

Me tango 8 mai i ngā taha e rua o te whārite.

$$-2x=4-8$$

Whakawehea ngā taha e rua ki te -2.

$$x=-\frac{4}{-2}$$