Whakaoti i te 250000*106^x=297754

$$250000 \times { 106 }^{ x } = 297754$$

Whakaoti mō x

$$x=3\log_{106}\left(\frac{53}{50}\right)\approx 0.037484509$$

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.

$$250000\times 106^{x}=297754$$

Whakawehea ngā taha e rua ki te 250000.

$$106^{x}=\frac{148877}{125000}$$

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

$$\log(106^{x})=\log(\frac{148877}{125000})$$

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

$$x\log(106)=\log(\frac{148877}{125000})$$

Whakawehea ngā taha e rua ki te \log(106).

$$x=\frac{\log(\frac{148877}{125000})}{\log(106)}$$

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

$$x=\log_{106}\left(\frac{148877}{125000}\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(106)}+\log_{106}\left(\frac{148877}{125000}\right)$$

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