9:y=3^x+2 eching

$$9 : y = 3 ^ { x + 2 }$$

y uchun yechish

$$y=\frac{1}{3^{x}}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

y qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini y ga ko'paytirish.

$$9=y\times 3^{x+2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$y\times 3^{x+2}=9$$

Tenglama standart shaklda.

$$3^{x+2}y=9$$

Ikki tarafini 3^{x+2} ga bo‘ling.

$$\frac{3^{x+2}y}{3^{x+2}}=\frac{9}{3^{x+2}}$$

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

$$y=\frac{9}{3^{x+2}}$$

9 ni 3^{x+2} ga bo'lish.

$$y=\frac{1}{3^{x}}$$

y qiymati 0 teng bo‘lmaydi.

$$y=\frac{1}{3^{x}}\text{, }y\neq 0$$

x uchun yechish (complex solution)

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

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

$$y\neq 0$$

x uchun yechish

$$x=-\log_{3}\left(y\right)$$

$$y>0$$