f:y=(3/2)^x eching

$$f : y = ( \frac { 3 } { 2 } ) ^ { x }$$

f uchun yechish

$$f=y\times \left(\frac{3}{2}\right)^{x}$$

$$y\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$\frac{1}{y}f=\left(\frac{3}{2}\right)^{x}$$

Ikki tarafini y^{-1} ga bo‘ling.

$$\frac{\frac{1}{y}fy}{1}=\frac{\left(\frac{3}{2}\right)^{x}y}{1}$$

y^{-1} ga bo'lish y^{-1} ga ko'paytirishni bekor qiladi.

$$f=\frac{\left(\frac{3}{2}\right)^{x}y}{1}$$

\left(\frac{3}{2}\right)^{x} ni y^{-1} ga bo'lish.

$$f=y\times \left(\frac{3}{2}\right)^{x}$$

x uchun yechish (complex solution)

$$x=\frac{2\pi n_{1}i}{\ln(\frac{3}{2})}+\log_{\frac{3}{2}}\left(\frac{f}{y}\right)$$

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

$$f\neq 0\text{ and }y\neq 0$$

x uchun yechish

$$x=\log_{\frac{3}{2}}\left(\frac{f}{y}\right)$$

$$\left(f<0\text{ and }y<0\right)\text{ or }\left(f>0\text{ and }y>0\right)$$