Whakaoti i te 4845=1.23^x

$$4845 = { 1.23 }^{ x }$$

Whakaoti mō x

$$x=\log_{1.23}\left(4845\right)\approx 40.990926126$$

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.

$$1.23^{x}=4845$$

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

$$\log(1.23^{x})=\log(4845)$$

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

$$x\log(1.23)=\log(4845)$$

Whakawehea ngā taha e rua ki te \log(1.23).

$$x=\frac{\log(4845)}{\log(1.23)}$$

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

$$x=\log_{1.23}\left(4845\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.23)}+\log_{1.23}\left(4845\right)$$

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