Whakaoti i te 144489/800=103^x

$$\frac{ 144489 }{ 800 } = { 103 }^{ x }$$

Whakaoti mō x

$$x=\log_{103}\left(\frac{144489}{800}\right)\approx 1.121176005$$

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.

$$103^{x}=\frac{144489}{800}$$

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

$$\log(103^{x})=\log(\frac{144489}{800})$$

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

$$x\log(103)=\log(\frac{144489}{800})$$

Whakawehea ngā taha e rua ki te \log(103).

$$x=\frac{\log(\frac{144489}{800})}{\log(103)}$$

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

$$x=\log_{103}\left(\frac{144489}{800}\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(103)}+\log_{103}\left(\frac{144489}{800}\right)$$

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