Whakaoti i te 3^x+1=(27*3)^4

$$3 ^ { x + 1 } = ( 27 \cdot 3 ) ^ { 4 }$$

Whakaoti mō x

$$x=15$$

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.

$$3^{x+1}=43046721$$

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

$$\log(3^{x+1})=\log(43046721)$$

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

$$\left(x+1\right)\log(3)=\log(43046721)$$

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

$$x+1=\frac{\log(43046721)}{\log(3)}$$

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

$$x+1=\log_{3}\left(43046721\right)$$

Me tango 1 mai i ngā taha e rua o te whārite.

$$x=16-1$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(3)}+15$$

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