9*3^(x+1) +3^x < 36
9*3*3^x + 3^x < 36
27*3^x + 3^x < 36
28^3^x < 36
3^x < 9/7
x < log(3) 9/7
x ∈ (-∞, log(3) 9/7)
=========
Если
9*3^(x-1) +3^x < 36
то
9/3*3^x + 3^x < 36
4*3^x < 36
3^x < 9
3^x < 3^2
x < 2
x ∈ (-∞,2)
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Answers & Comments
9*3^(x+1) +3^x < 36
9*3*3^x + 3^x < 36
27*3^x + 3^x < 36
28^3^x < 36
3^x < 9/7
x < log(3) 9/7
x ∈ (-∞, log(3) 9/7)
=========
Если
9*3^(x-1) +3^x < 36
то
9/3*3^x + 3^x < 36
4*3^x < 36
3^x < 9
3^x < 3^2
x < 2
x ∈ (-∞,2)