Whakaoti i te (0.05)^x=0.125

$$( 0.05 ) ^ { x } = 0.125$$

Whakaoti mō x

$$x=3\log_{20}\left(2\right)\approx 0.694134639$$

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.

$$0.05^{x}=0.125$$

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

$$\log(0.05^{x})=\log(0.125)$$

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

$$x\log(0.05)=\log(0.125)$$

Whakawehea ngā taha e rua ki te \log(0.05).

$$x=\frac{\log(0.125)}{\log(0.05)}$$

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

$$x=\log_{0.05}\left(0.125\right)$$

Whakaoti mō x (complex solution)

$$x=-\frac{i\times 2\pi n_{1}}{\ln(20)}+3\log_{20}\left(2\right)$$

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