Given the function f (x) = logx ^ (2 ^ x + 1), it is proved that the function f (x) increases monotonically in (negative infinity, positive infinity) X is the base number, and all above are true numbers

There is a problem with the title. What is the base of logarithm? Write it again, or you can't do it

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1. The definition field of function y = logx (1 + x) + (1-x) ^ (1 / 2) is? What is the domain of the function y = logx (1 + x) + (1-x) ^ (1 / 2)?
2. If a = {y ∈ R | y = logx, X ＜ 1}, B = {- 2, - 1,1,2}, then the set CUA ∩ B and CUA ∪ B=
3. Given the function f (x-1 / x) = x2 + X2, then f (3) x is explained in detail
4. If f (x + 1 / x) = x2 + 1 / x2 + 1, then f (x + 3)=
5. Finding the maximum value of function f (x) = x2-2ax + 1 x ∈ [1,3]
6. If f (3) = 4xlog2 (3) + 233, then the value of F (2) + F (4) + F (8) +... + F (2) is?
7. It is known that the definition field of function f (x) = (log2x) - 2log2x + 3 is [1,4], and the maximum and minimum values of function f (x) are obtained
8. If the maximum value of the function f (x) = log2x in the interval [a, 2A] is twice the minimum value, then a is equal to? ∵2＞1, F (x) = log2x is an increasing function ∴2log2a=log22a． ∴loga2=1． ∴a=2． The answer is like this. What I can't understand is that 2log2a = log22a. Why is there ∥ loga2 = 1? Is there any other way?
9. Find the maximum and minimum values of the function f (x) = x + 1 / X in the interval [1 / 2,3]
10. The maximum value of function f (x) = x / x + 2 in interval [2,4] is______ , the minimum value is________ (process)
11. Function f (x) = 1-logx (2) + logx ^ 2 (9) - logx ^ 3 (64), then f (x)
12. Y = log [(1 / 3) ^ 2] x + 2log (1 / 3) x + 3 when 1 / 27 is less than or equal to X and less than or equal to 9, find the maximum and minimum value of the function
13. Given the function f (x ^ 2-3) = logx ^ 2 / x ^ 2-6, find the definition field of F (x)
14. The third power formula of adding three numbers (a+b+c)^3=?
15. What is the formula of adding the fourth power of a to the fourth power of B?
16. The opposite number of the fourth power of 3 - the absolute value of the fifth power of (- 0.25) × the fifth power of 4 + (1 / 2-1 / 3) / (1 / 6) / - 2
17. Let's know that the absolute value of A-4 and the second power of (B + 1) are opposite to each other. Find the negative B power of a minus the a power of B. the second power of (B-A) minus the 25 power of B
18. X ^ 2 + y ^ 2 + 6x + 8y + 25 = 0, find the value of (x ^ 2) - (Y ＾ 2)
19. The x power of 0.2 is known
20. Let's know the quadratic of X - 6x + y + 8y + 25 = 0 and find the value of X3 power