Whakaoti i te 3000*1.032^x=6000

$$3000 \times { 1.032 }^{ x } =6000$$

Whakaoti mō x

$$x=\log_{1.032}\left(2\right)\approx 22.005603579$$

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.

$$3000\times 1.032^{x}=6000$$

Whakawehea ngā taha e rua ki te 3000.

$$1.032^{x}=2$$

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

$$\log(1.032^{x})=\log(2)$$

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

$$x\log(1.032)=\log(2)$$

Whakawehea ngā taha e rua ki te \log(1.032).

$$x=\frac{\log(2)}{\log(1.032)}$$

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

$$x=\log_{1.032}\left(2\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.032)}+\log_{1.032}\left(2\right)$$

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