Whakaoti i te 2^-x=32

$$2 ^ { - x } = 32$$

Whakaoti mō x

$$x=-5$$

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.

$$2^{-x}=32$$

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

$$\log(2^{-x})=\log(32)$$

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

$$-x\log(2)=\log(32)$$

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

$$-x=\frac{\log(32)}{\log(2)}$$

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

$$-x=\log_{2}\left(32\right)$$

Whakawehea ngā taha e rua ki te -1.

$$x=\frac{5}{-1}$$

Whakaoti mō x (complex solution)

$$x=-\frac{i\times 2\pi n_{1}}{\ln(2)}-5$$

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