Whakaoti i te 8225(1.0295)^n=3750

$$8225 ( 1.0295 ) ^ { n } = 3750$$

Whakaoti mō n

$$n=\log_{1.0295}\left(\frac{150}{329}\right)\approx -27.015298413$$

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

Whakamahia ngā ture taupū me ngā taupū kōaro hei whakaoti i te whārite.

$$8225\times 1.0295^{n}=3750$$

Whakawehea ngā taha e rua ki te 8225.

$$1.0295^{n}=\frac{150}{329}$$

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

$$\log(1.0295^{n})=\log(\frac{150}{329})$$

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

$$n\log(1.0295)=\log(\frac{150}{329})$$

Whakawehea ngā taha e rua ki te \log(1.0295).

$$n=\frac{\log(\frac{150}{329})}{\log(1.0295)}$$

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

$$n=\log_{1.0295}\left(\frac{150}{329}\right)$$