Whakaoti i te 32767+1=2^x

$$32767 + 1 = 2 ^ { x }$$

Whakaoti mō x

$$x=15$$

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

Tāpirihia te 32767 ki te 1, ka 32768.

$$32768=2^{x}$$

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

$$2^{x}=32768$$

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

$$\log(2^{x})=\log(32768)$$

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

$$x\log(2)=\log(32768)$$

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

$$x=\frac{\log(32768)}{\log(2)}$$

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

$$x=\log_{2}\left(32768\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(2)}+15$$

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