Whakaoti i te 2^x-9=1

$$2 ^ { x - 9 } = 1$$

Whakaoti mō x

$$x=9$$

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.

$$2^{x-9}=1$$

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

$$\log(2^{x-9})=\log(1)$$

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

$$\left(x-9\right)\log(2)=\log(1)$$

Whakawehea ngā taha e rua ki te \log(2).

$$x-9=\frac{\log(1)}{\log(2)}$$

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

$$x-9=\log_{2}\left(1\right)$$

Me tāpiri 9 ki ngā taha e rua o te whārite.

$$x=-\left(-9\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(2)}+9$$

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