Whakaoti i te 1.418519125=1.06^x

$$1.418519125= { 1.06 }^{ x }$$

Whakaoti mō x

$$x=\log_{1.06}\left(1.418519125\right)\approx 6.000000154$$

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.

$$1.06^{x}=1.418519125$$

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

$$\log(1.06^{x})=\log(1.418519125)$$

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

$$x\log(1.06)=\log(1.418519125)$$

Whakawehea ngā taha e rua ki te \log(1.06).

$$x=\frac{\log(1.418519125)}{\log(1.06)}$$

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

$$x=\log_{1.06}\left(1.418519125\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.06)}+\log_{1.06}\left(1.418519125\right)$$

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