Whakaoti i te 5000=30000*2^t

$$5000 = 30000 \cdot 2 ^ { t }$$

Whakaoti mō t

$$t=-\log_{2}\left(6\right)\approx -2.584962501$$

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

Whakawehea ngā taha e rua ki te 30000.

$$\frac{5000}{30000}=2^{t}$$

Whakahekea te hautanga \frac{5000}{30000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5000.

$$\frac{1}{6}=2^{t}$$

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

$$2^{t}=\frac{1}{6}$$

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

$$\log(2^{t})=\log(\frac{1}{6})$$

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

$$t\log(2)=\log(\frac{1}{6})$$

Whakawehea ngā taha e rua ki te \log(2).

$$t=\frac{\log(\frac{1}{6})}{\log(2)}$$

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

$$t=\log_{2}\left(\frac{1}{6}\right)$$