Whakaoti i te 94*2^frac{x{3}}=16

$$94 \cdot 2 ^ { \frac { x } { 3 } } = 16$$

Whakaoti mō x

$$x=-3\log_{2}\left(47\right)+9\approx -7.663766555$$

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.

$$94\times 2^{\frac{1}{3}x}=16$$

Whakawehea ngā taha e rua ki te 94.

$$2^{\frac{1}{3}x}=\frac{8}{47}$$

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

$$\log(2^{\frac{1}{3}x})=\log(\frac{8}{47})$$

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

$$\frac{1}{3}x\log(2)=\log(\frac{8}{47})$$

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

$$\frac{1}{3}x=\frac{\log(\frac{8}{47})}{\log(2)}$$

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

$$\frac{1}{3}x=\log_{2}\left(\frac{8}{47}\right)$$

Me whakarea ngā taha e rua ki te 3.

$$x=\frac{-\log_{2}\left(47\right)+3}{\frac{1}{3}}$$