Whakaoti i te 8000000=100e^.01t

$$8000000 = 100 e ^ { .01 t }$$

Whakaoti mō t

$$t=100\ln(80000)\approx 1128.978191366$$

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

Whakawehea ngā taha e rua ki te 100.

$$\frac{8000000}{100}=e^{0.01t}$$

Whakawehea te 8000000 ki te 100, kia riro ko 80000.

$$80000=e^{0.01t}$$

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

$$e^{0.01t}=80000$$

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

$$\log(e^{0.01t})=\log(80000)$$

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

$$0.01t\log(e)=\log(80000)$$

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

$$0.01t=\frac{\log(80000)}{\log(e)}$$

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

$$0.01t=\log_{e}\left(80000\right)$$

Me whakarea ngā taha e rua ki te 100.

$$t=\frac{\ln(80000)}{0.01}$$