Whakaoti i te 2^x+7=21

$$2 ^ { x + 7 } = 21$$

Whakaoti mō x

$$x=\log_{2}\left(21\right)-7\approx -2.607682577$$

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.

$$2^{x+7}=21$$

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

$$\log(2^{x+7})=\log(21)$$

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

$$\left(x+7\right)\log(2)=\log(21)$$

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

$$x+7=\frac{\log(21)}{\log(2)}$$

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

$$x+7=\log_{2}\left(21\right)$$

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

$$x=\log_{2}\left(21\right)-7$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(2)}+\log_{2}\left(21\right)-7$$

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