y=3n-9^x eching

$$y = 3 n - 9 ^ { x }$$

n uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$3n-9^{x}=y$$

9^{x} ni ikki tarafga qo’shing.

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

Ikki tarafini 3 ga bo‘ling.

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

3 ga bo'lish 3 ga ko'paytirishni bekor qiladi.

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

x uchun yechish (complex solution)

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

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

$$y\neq 3n$$

x uchun yechish

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

$$y<3n$$