Whakaoti i te 25^x=625

$$25 ^ { x } = 625$$

Whakaoti mō x

$$x=2$$

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.

$$25^{x}=625$$

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

$$\log(25^{x})=\log(625)$$

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

$$x\log(25)=\log(625)$$

Whakawehea ngā taha e rua ki te \log(25).

$$x=\frac{\log(625)}{\log(25)}$$

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

$$x=\log_{25}\left(625\right)$$

Whakaoti mō x (complex solution)

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

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