Whakaoti i te 2=1*105^x

$$2=1 \times { 105 }^{ x }$$

Whakaoti mō x

$$x=\log_{105}\left(2\right)\approx 0.148937062$$

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

Whakawehea ngā taha e rua ki te 1.

$$2=105^{x}$$

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

$$105^{x}=2$$

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

$$\log(105^{x})=\log(2)$$

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

$$x\log(105)=\log(2)$$

Whakawehea ngā taha e rua ki te \log(105).

$$x=\frac{\log(2)}{\log(105)}$$

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

$$x=\log_{105}\left(2\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(105)}+\log_{105}\left(2\right)$$

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