Whakaoti i te 5^n-1=25

$$5 ^ { n - 1 } = 25$$

Whakaoti mō n

$$n=3$$

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.

$$5^{n-1}=25$$

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

$$\log(5^{n-1})=\log(25)$$

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

$$\left(n-1\right)\log(5)=\log(25)$$

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

$$n-1=\frac{\log(25)}{\log(5)}$$

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

$$n-1=\log_{5}\left(25\right)$$

Me tāpiri 1 ki ngā taha e rua o te whārite.

$$n=2-\left(-1\right)$$