Whakaoti i te 4^-3a=16

$$4 ^ { - 3 a } = 16$$

Whakaoti mō a

$$a=-\frac{2}{3}\approx -0.666666667$$

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.

$$4^{-3a}=16$$

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

$$\log(4^{-3a})=\log(16)$$

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

$$-3a\log(4)=\log(16)$$

Whakawehea ngā taha e rua ki te \log(4).

$$-3a=\frac{\log(16)}{\log(4)}$$

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

$$-3a=\log_{4}\left(16\right)$$

Whakawehea ngā taha e rua ki te -3.

$$a=\frac{2}{-3}$$