Whakaoti i te 3^n=13^4

$$3 ^ { n } = 13 ^ { 4 }$$

Whakaoti mō n

$$n=4\log_{3}\left(13\right)\approx 9.338870078$$

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.

$$3^{n}=28561$$

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

$$\log(3^{n})=\log(28561)$$

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

$$n\log(3)=\log(28561)$$

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

$$n=\frac{\log(28561)}{\log(3)}$$

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

$$n=\log_{3}\left(28561\right)$$