Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality log(2,n+1) <= 2log(2,n)^2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         log( 2 , n + 1 ) <= 2 * log( 2 , n ) ^ 2         (1)
        From the definition field of log
         2 > 0        (2 )
         x + 1 > 0 also ≠ 1        (3 )
        From the definition field of log
         2 > 0        (4 )
         x > 0 并且 ≠ 1        (5 )

---

    From inequality(1)：
         n ≤ 0.657968 或  n ≥ 1.821308
    From inequality(2)：
         n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3)：
         -1 < n < 0 或  n ＞ 0
    From inequality(4)：
         n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(5)：
         0 < n < 1 或  n ＞ 1

---

    From inequalities (1) and (2)
         n ≤ 0.657968 或  n ≥ 1.821308    (6)
    From inequalities (3) and (6)
         -1 < n < 0 或  0 < n ≤ 0.657968 或  n ≥ 1.821308    (7)
    From inequalities (4) and (7)
         -1 < n < 0 或  0 < n ≤ 0.657968 或  n ≥ 1.821308    (8)
    From inequalities (5) and (8)
          ≤ n ≤ 或  0 < n ≤ 0.657968 或  n ≥ 1.821308    (9)

---

    The final solution set is :
          ≤ n ≤ 或  0 < n ≤ 0.657968 或  n ≥ 1.821308

Your problem has not been solved here? Please take a look at the  hot problems ！