Whakaoti i te 25^3k=629

$$25 ^ { 3 k } = 629$$

Whakaoti mō k

$$k=\frac{\log_{5}\left(629\right)}{6}\approx 0.667327312$$

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.

$$25^{3k}=629$$

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

$$\log(25^{3k})=\log(629)$$

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

$$3k\log(25)=\log(629)$$

Whakawehea ngā taha e rua ki te \log(25).

$$3k=\frac{\log(629)}{\log(25)}$$

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

$$3k=\log_{25}\left(629\right)$$

Whakawehea ngā taha e rua ki te 3.

$$k=\frac{\log_{5}\left(629\right)}{2\times 3}$$