Whakaoti i te 1666.667=1.097^x

$$1666.667 = 1.097 ^ { x }$$

Whakaoti mō x

$$x=\log_{1.097}\left(1666.667\right)\approx 80.132282433$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Taupū Kōaro

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$1.097^{x}=1666.667$$

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

$$\log(1.097^{x})=\log(1666.667)$$

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

$$x\log(1.097)=\log(1666.667)$$

Whakawehea ngā taha e rua ki te \log(1.097).

$$x=\frac{\log(1666.667)}{\log(1.097)}$$

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

$$x=\log_{1.097}\left(1666.667\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.097)}+\log_{1.097}\left(1666.667\right)$$

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