Whakaoti i te 6r-9^19=0^+a

$$6 r - 9 ^ { 19 } = 0 ^ { + a }$$

Whakaoti mō r (complex solution)

$$r = \frac{450283905890997363}{2} = 2.251419529454987 \times 10^{17}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 9 mā te pū o 19, kia riro ko 1350851717672992089.

$$6r-1350851717672992089=0^{a}$$

Me tāpiri te 1350851717672992089 ki ngā taha e rua.

$$6r=0^{a}+1350851717672992089$$

He hanga arowhānui tō te whārite.

$$6r=1350851717672992089$$

Whakawehea ngā taha e rua ki te 6.

$$\frac{6r}{6}=\frac{1350851717672992089}{6}$$

Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.

$$r=\frac{1350851717672992089}{6}$$

Whakahekea te hautanga \frac{1350851717672992089}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$r=\frac{450283905890997363}{2}$$

Whakaoti mō r

$$r = \frac{450283905890997363}{2} = 2.251419529454987 \times 10^{17}$$

$$a>0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 9 mā te pū o 19, kia riro ko 1350851717672992089.

$$6r-1350851717672992089=0^{a}$$

Me tāpiri te 1350851717672992089 ki ngā taha e rua.

$$6r=0^{a}+1350851717672992089$$

He hanga arowhānui tō te whārite.

$$6r=1350851717672992089$$

Whakawehea ngā taha e rua ki te 6.

$$\frac{6r}{6}=\frac{1350851717672992089}{6}$$

Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.

$$r=\frac{1350851717672992089}{6}$$

Whakahekea te hautanga \frac{1350851717672992089}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$r=\frac{450283905890997363}{2}$$

Whakaoti mō a (complex solution)

$$a\in \mathrm{C}$$

$$r = \frac{450283905890997363}{2} = 2.251419529454987 \times 10^{17}$$

Whakaoti mō a

$$a>0$$

$$r=\frac{450283905890997363}{2}\text{ and }a>0$$