Whakaoti i te 3^adiv3^4=3^2

$$3 ^ { a } \div 3 ^ { 4 } = 3 ^ { 2 }$$

Whakaoti mō a

$$a=6$$

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.

$$\frac{1}{81}\times 3^{a}=9$$

Me whakarea ngā taha e rua ki te 81.

$$3^{a}=729$$

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

$$\log(3^{a})=\log(729)$$

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

$$a\log(3)=\log(729)$$

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

$$a=\frac{\log(729)}{\log(3)}$$

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

$$a=\log_{3}\left(729\right)$$