y*3*2^x+3=4^3+x eching

$$y \cdot 3 \cdot 2 ^ { x + 3 } = 4 ^ { 3 + x }$$

y uchun yechish

$$y=\frac{8\times 2^{x}}{3}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$3\times 2^{x+3}y=4^{x+3}$$

Ikki tarafini 3\times 2^{x+3} ga bo‘ling.

$$\frac{3\times 2^{x+3}y}{3\times 2^{x+3}}=\frac{64\times 4^{x}}{3\times 2^{x+3}}$$

3\times 2^{x+3} ga bo'lish 3\times 2^{x+3} ga ko'paytirishni bekor qiladi.

$$y=\frac{64\times 4^{x}}{3\times 2^{x+3}}$$

64\times 4^{x} ni 3\times 2^{x+3} ga bo'lish.

$$y=\frac{8\times 2^{x}}{3}$$

x uchun yechish (complex solution)

$$x=\frac{\ln(y)+\ln(\frac{3}{8})}{\ln(2)}+\frac{2\pi n_{1}i}{\ln(2)}$$

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

$$y\neq 0$$

x uchun yechish

$$x=\frac{\ln(y)+\ln(\frac{3}{8})}{\ln(2)}$$

$$y>0$$