Whakaoti i te 52=4^x-12

$$52= { 4 }^{ x } -12$$

Whakaoti mō x

$$x=3$$

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

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

$$4^{x}-12=52$$

Me tāpiri 12 ki ngā taha e rua o te whārite.

$$4^{x}=64$$

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

$$\log(4^{x})=\log(64)$$

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

$$x\log(4)=\log(64)$$

Whakawehea ngā taha e rua ki te \log(4).

$$x=\frac{\log(64)}{\log(4)}$$

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

$$x=\log_{4}\left(64\right)$$

Whakaoti mō x (complex solution)

$$x=\frac{\pi n_{1}i}{\ln(2)}+3$$

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