Whakaoti i te 2(3^n)=5

$$2 ( 3 ^ { n } ) = 5$$

Whakaoti mō n

$$n=\log_{3}\left(\frac{5}{2}\right)\approx 0.834043767$$

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.

$$2\times 3^{n}=5$$

Whakawehea ngā taha e rua ki te 2.

$$3^{n}=\frac{5}{2}$$

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

$$\log(3^{n})=\log(\frac{5}{2})$$

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

$$n\log(3)=\log(\frac{5}{2})$$

Whakawehea ngā taha e rua ki te \log(3).

$$n=\frac{\log(\frac{5}{2})}{\log(3)}$$

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

$$n=\log_{3}\left(\frac{5}{2}\right)$$