Whakaoti i te y*3*2^x+3=4^3+x

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

Whakaoti mō y

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

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

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

Whakawehea ngā taha e rua ki te 3\times 2^{x+3}.

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

Mā te whakawehe ki te 3\times 2^{x+3} ka wetekia te whakareanga ki te 3\times 2^{x+3}.

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

Whakawehe 64\times 4^{x} ki te 3\times 2^{x+3}.

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

Whakaoti mō x (complex solution)

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

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

$$y\neq 0$$

Whakaoti mō x

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

$$y>0$$