Whakaoti i te 700*(102)^x=800

$$700 \times ( 102 ) ^ { x } = 800$$

Whakaoti mō x

$$x=\log_{102}\left(\frac{8}{7}\right)\approx 0.028871822$$

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.

$$700\times 102^{x}=800$$

Whakawehea ngā taha e rua ki te 700.

$$102^{x}=\frac{8}{7}$$

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

$$\log(102^{x})=\log(\frac{8}{7})$$

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

$$x\log(102)=\log(\frac{8}{7})$$

Whakawehea ngā taha e rua ki te \log(102).

$$x=\frac{\log(\frac{8}{7})}{\log(102)}$$

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

$$x=\log_{102}\left(\frac{8}{7}\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(102)}+\log_{102}\left(\frac{8}{7}\right)$$

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