Whakaoti i te 5^(2x-6)=1

$${ 5 }^{ (2x-6) } =1$$

Whakaoti mō x

$$x=3$$

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.

$$5^{2x-6}=1$$

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

$$\log(5^{2x-6})=\log(1)$$

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

$$\left(2x-6\right)\log(5)=\log(1)$$

Whakawehea ngā taha e rua ki te \log(5).

$$2x-6=\frac{\log(1)}{\log(5)}$$

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

$$2x-6=\log_{5}\left(1\right)$$

Me tāpiri 6 ki ngā taha e rua o te whārite.

$$2x=-\left(-6\right)$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{6}{2}$$