Whakaoti i te lambdaw=e^x

$$\lambda w = e ^ { x }$$

Whakaoti mō w

$$w=\frac{e^{x}}{\lambda }$$

$$\lambda \neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$\lambda w=e^{x}$$

Whakawehea ngā taha e rua ki te \lambda .

$$\frac{\lambda w}{\lambda }=\frac{e^{x}}{\lambda }$$

Mā te whakawehe ki te \lambda ka wetekia te whakareanga ki te \lambda .

$$w=\frac{e^{x}}{\lambda }$$

Whakaoti mō x (complex solution)

$$x=\ln(w\lambda )+2\pi n_{1}i$$

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

$$w\neq 0\text{ and }\lambda \neq 0$$

Whakaoti mō x

$$x=\ln(w\lambda )$$

$$\left(\lambda <0\text{ and }w<0\right)\text{ or }\left(\lambda >0\text{ and }w>0\right)$$