Whakaoti i te 5^b-2=125

$$5 ^ { b - 2 } = 125$$

Whakaoti mō b

$$b=5$$

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.

$$5^{b-2}=125$$

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

$$\log(5^{b-2})=\log(125)$$

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

$$\left(b-2\right)\log(5)=\log(125)$$

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

$$b-2=\frac{\log(125)}{\log(5)}$$

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

$$b-2=\log_{5}\left(125\right)$$

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

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