Whakaoti i te 0.2^x=0.008

$$0.2 ^ { x } = 0.008$$

Whakaoti mō x

$$x=3$$

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.

$$0.2^{x}=0.008$$

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

$$\log(0.2^{x})=\log(0.008)$$

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

$$x\log(0.2)=\log(0.008)$$

Whakawehea ngā taha e rua ki te \log(0.2).

$$x=\frac{\log(0.008)}{\log(0.2)}$$

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

$$x=\log_{0.2}\left(0.008\right)$$

Whakaoti mō x (complex solution)

$$x=-\frac{i\times 2\pi n_{1}}{\ln(5)}+3$$

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