Whakaoti i te 10000*391000000=2^x

$$10000 \times 391000000= { 2 }^{ x }$$

Whakaoti mō x

$$x=\log_{2}\left(3910000000000\right)\approx 41.830305746$$

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

Whakareatia te 10000 ki te 391000000, ka 3910000000000.

$$3910000000000=2^{x}$$

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

$$2^{x}=3910000000000$$

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

$$\log(2^{x})=\log(3910000000000)$$

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

$$x\log(2)=\log(3910000000000)$$

Whakawehea ngā taha e rua ki te \log(2).

$$x=\frac{\log(3910000000000)}{\log(2)}$$

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

$$x=\log_{2}\left(3910000000000\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(2)}+\log_{2}\left(3910000000000\right)$$

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