Whakaoti i te 4^n=1024

$$4 ^ { n } = 1024$$

Whakaoti mō n

$$n=5$$

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.

$$4^{n}=1024$$

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

$$\log(4^{n})=\log(1024)$$

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

$$n\log(4)=\log(1024)$$

Whakawehea ngā taha e rua ki te \log(4).

$$n=\frac{\log(1024)}{\log(4)}$$

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

$$n=\log_{4}\left(1024\right)$$

Whakaoti mō n (complex solution)

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

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