Whakaoti i te y*1032^x=2y

$$y \times { 1032 }^{ x } =2y$$

Whakaoti mō x

$$\left\{\begin{matrix}\\x=\log_{1032}\left(2\right)\approx 0.099887853\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

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.

$$y\times 1032^{x}=2y$$

Whakawehea ngā taha e rua ki te y.

$$1032^{x}=2$$

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

$$\log(1032^{x})=\log(2)$$

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

$$x\log(1032)=\log(2)$$

Whakawehea ngā taha e rua ki te \log(1032).

$$x=\frac{\log(2)}{\log(1032)}$$

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

$$x=\log_{1032}\left(2\right)$$

Whakaoti mō y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\log_{1032}\left(2\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 2y mai i ngā taha e rua.

$$y\times 1032^{x}-2y=0$$

Pahekotia ngā kīanga tau katoa e whai ana i te y.

$$\left(1032^{x}-2\right)y=0$$

Whakawehe 0 ki te 1032^{x}-2.

$$y=0$$