Whakaoti i te 6^-k=36

$$6 ^ { - k } = 36$$

Whakaoti mō k

$$k=-2$$

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.

$$6^{-k}=36$$

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

$$\log(6^{-k})=\log(36)$$

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

$$-k\log(6)=\log(36)$$

Whakawehea ngā taha e rua ki te \log(6).

$$-k=\frac{\log(36)}{\log(6)}$$

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

$$-k=\log_{6}\left(36\right)$$

Whakawehea ngā taha e rua ki te -1.

$$k=\frac{2}{-1}$$

Whakaoti mō k (complex solution)

$$k=-\frac{i\times 2\pi n_{1}}{\ln(6)}-2$$

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