Whakaoti i te 4599*1.25^x=82790000

$$4599 \times { 1.25 }^{ x } =82790000$$

Whakaoti mō x

$$x=\log_{1.25}\left(\frac{82790000}{4599}\right)\approx 43.90995668$$

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.

$$4599\times 1.25^{x}=82790000$$

Whakawehea ngā taha e rua ki te 4599.

$$1.25^{x}=\frac{82790000}{4599}$$

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

$$\log(1.25^{x})=\log(\frac{82790000}{4599})$$

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

$$x\log(1.25)=\log(\frac{82790000}{4599})$$

Whakawehea ngā taha e rua ki te \log(1.25).

$$x=\frac{\log(\frac{82790000}{4599})}{\log(1.25)}$$

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

$$x=\log_{1.25}\left(\frac{82790000}{4599}\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{i\times 2\pi n_{1}}{\ln(1.25)}+\log_{1.25}\left(\frac{82790000}{4599}\right)$$

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