Whakaoti i te 546978=4500*105^n

$$546978 = 4500 \times 105 ^ { n }$$

Whakaoti mō n

$$n=\log_{105}\left(\frac{91163}{750}\right)\approx 1.031450813$$

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

Whakawehea ngā taha e rua ki te 4500.

$$\frac{546978}{4500}=105^{n}$$

Whakahekea te hautanga \frac{546978}{4500} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{91163}{750}=105^{n}$$

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

$$105^{n}=\frac{91163}{750}$$

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

$$\log(105^{n})=\log(\frac{91163}{750})$$

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

$$n\log(105)=\log(\frac{91163}{750})$$

Whakawehea ngā taha e rua ki te \log(105).

$$n=\frac{\log(\frac{91163}{750})}{\log(105)}$$

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

$$n=\log_{105}\left(\frac{91163}{750}\right)$$