Whakaoti i te 3^7-x=3

$$3 ^ { 7 - x } = 3$$

Whakaoti mō x

$$x=6$$

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.

$$3^{-x+7}=3$$

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

$$\log(3^{-x+7})=\log(3)$$

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

$$\left(-x+7\right)\log(3)=\log(3)$$

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

$$-x+7=\frac{\log(3)}{\log(3)}$$

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

$$-x+7=\log_{3}\left(3\right)$$

Me tango 7 mai i ngā taha e rua o te whārite.

$$-x=1-7$$

Whakawehea ngā taha e rua ki te -1.

$$x=-\frac{6}{-1}$$

Whakaoti mō x (complex solution)

$$x=-\frac{i\times 2\pi n_{1}}{\ln(3)}+6$$

$$n_{1}\in \mathrm{Z}$$