Whakaoti i te 14400=4000(1025)^x

$$14400 = 4000 ( 1025 ) ^ { x }$$

Whakaoti mō x

$$x=\log_{1025}\left(\frac{18}{5}\right)\approx 0.184773671$$

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

Whakawehea ngā taha e rua ki te 4000.

$$\frac{14400}{4000}=1025^{x}$$

Whakahekea te hautanga \frac{14400}{4000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 800.

$$\frac{18}{5}=1025^{x}$$

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

$$1025^{x}=\frac{18}{5}$$

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

$$\log(1025^{x})=\log(\frac{18}{5})$$

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

$$x\log(1025)=\log(\frac{18}{5})$$

Whakawehea ngā taha e rua ki te \log(1025).

$$x=\frac{\log(\frac{18}{5})}{\log(1025)}$$

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

$$x=\log_{1025}\left(\frac{18}{5}\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(1025)}+\log_{1025}\left(\frac{18}{5}\right)$$

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