Whakaoti i te 9^n+2=240+9

$$9 ^ { n + 2 } = 240 + 9$$

Whakaoti mō n

$$n=\frac{\log_{3}\left(249\right)-4}{2}\approx 0.511101029$$

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.

$$9^{n+2}=249$$

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

$$\log(9^{n+2})=\log(249)$$

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

$$\left(n+2\right)\log(9)=\log(249)$$

Whakawehea ngā taha e rua ki te \log(9).

$$n+2=\frac{\log(249)}{\log(9)}$$

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

$$n+2=\log_{9}\left(249\right)$$

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

$$n=\frac{\log_{3}\left(249\right)}{2}-2$$