Whakaoti i te 5^2x+2=1/625

$$5 ^ { 2 x + 2 } = \frac { 1 } { 625 }$$

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.

$$5^{2x+2}=\frac{1}{625}$$

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

$$\log(5^{2x+2})=\log(\frac{1}{625})$$

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

$$\left(2x+2\right)\log(5)=\log(\frac{1}{625})$$

Whakawehea ngā taha e rua ki te \log(5).

$$2x+2=\frac{\log(\frac{1}{625})}{\log(5)}$$

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

$$2x+2=\log_{5}\left(\frac{1}{625}\right)$$

Me tango 2 mai i ngā taha e rua o te whārite.

$$2x=-4-2$$

Whakawehea ngā taha e rua ki te 2.

$$x=-\frac{6}{2}$$