2sqrt{3}+2i=x*e^2y eching

$$2 \sqrt { 3 } + 2 i = x \cdot e ^ { 2 y }$$

x uchun yechish

$$x=\frac{2\left(\sqrt{3}+i\right)}{e^{2y}}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$xe^{2y}=2\sqrt{3}+2i$$

Tenglama standart shaklda.

$$e^{2y}x=2\sqrt{3}+2i$$

Ikki tarafini e^{2y} ga bo‘ling.

$$\frac{e^{2y}x}{e^{2y}}=\frac{2\sqrt{3}+2i}{e^{2y}}$$

e^{2y} ga bo'lish e^{2y} ga ko'paytirishni bekor qiladi.

$$x=\frac{2\sqrt{3}+2i}{e^{2y}}$$

2\sqrt{3}+2i ni e^{2y} ga bo'lish.

$$x=\frac{2\left(\sqrt{3}+i\right)}{e^{2y}}$$

y uchun yechish

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

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

$$x\neq 0$$