Whakaoti i te 3^3x=27

$$3 ^ { 3 x } = 27$$

Whakaoti mō x

$$x=1$$

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.

$$3^{3x}=27$$

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

$$\log(3^{3x})=\log(27)$$

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

$$3x\log(3)=\log(27)$$

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

$$3x=\frac{\log(27)}{\log(3)}$$

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

$$3x=\log_{3}\left(27\right)$$

Whakawehea ngā taha e rua ki te 3.

$$x=\frac{3}{3}$$

Whakaoti mō x (complex solution)

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

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