All the bottom changing formulas of the logarithmic function of grade one are all

All the bottom changing formulas of the logarithmic function of grade one are all


The so-called bottom changing formula is log (a) (b) = log (n) (b) / log (n) (a)
The formula of changing base of logarithm: one is to change logarithm into logarithm with same base; the other is to change logarithm into common logarithm
Logarithmic reduction



Senior one mathematics (meaning and representation of set)
Given that there is only one element in the set a = {x ∈ R ∣ ax & # 178; + 2x + 1 = 0, a ∈ R, a ≠ 0} (a can also be called a single element set), we can find the value of a and find this element


There is only one element in a = {x ∈ R ∣ ax & # 178; + 2x + 1 = 0, a ∈ R, a ≠ 0} (a can also be called single element set)
So Δ = 4-4a = 0
So a = 1
In this case, a = {x | X & # 178; + 2x + 1 = 0} = {- 1}
If you don't understand, please hi me, I wish you a happy study!



The addition rule of logarithmic function


(1)log(a)(MN)=log(a)(M)+log(a)(N);
(2)log(a)(M/N)=log(a)(M)-log(a)(N);
(3)log(a)(M^n)=nlog(a)(M) (n∈R)
(4) Bottom changing formula: log (a) M = log (b) m / log (b) a (b > 0 and B ≠ 1)



Several problems about the meaning and expression of mathematics set in grade one of senior high school
1. Let ax & # 178; + BX + C = 0 and the discriminant of its root Δ = 0, then the solution set of inequality ax & # 178; + BX + C ≥ 0 is
2, known set a = {xlax & # 178; + 2x + 1 = 0, a ∈ r}
(1) If there is at most one element in a, find the value range of A
(2) If there is at least one element in a, find the value range of A


The concept of set: a certain range, certain, distinguishable things, as a whole, is called set, referred to as set, in which each thing is called the element of set or referred to as element
Three properties of set: disorder, certainty and mutuality
When a > 0, the solution set is r
When A0, the opening of the image is upward
a



How to calculate the sand measurement rate by interpolation method
I also know it's slope, but the sand ratio corresponding to different water cement ratio is a range. How can this range be taken as a number


This is a mathematical formula, the slope method



Mathematics in Senior One: the basic concept of set
Given the set M = {x, XY, (X-Y)}, n = {0, | x, y}, and M = n, then the values of X and y are__________ .
There must be a detailed process!


If x > 0, then x = | X|
Then if xy = 0, then y = 0, then n has two zeros, which does not conform to the set property
Only (X-Y) = 0 under the root sign
So x = y
In this way, n has equal elements, which does not conform to the set property
If x = 0, then M and n have equal elements, which does not conform to the set property
So x



Set range symbol
Excuse me?
N N+ Z Z+
I can't remember what they stand for


R is a real number set, n is a non negative integer set, Z is an integer set, and Z +, N + are all positive integer sets,



Symbol of set
Please write by hand, not by computer,


Union: a set of elements belonging to a or B is called the union of a and B (set), which is recorded as a ∪ B (or B ∪ a), and read as "a and B" (or "B and a"), that is, a ∪ B = {x | x ∈ a, or X ∈ B}
Intersection: a set of elements belonging to a and B is called the intersection of a and B (set), which is recorded as a ∩ B (or B ∩ a), and read as "a intersection B" (or "B intersection a"), that is, a ∩ B = {x | x ∈ a, and X ∈ B}



The solution of a set sign in Mathematics
Remove a bar below the subset and draw a slash


It means that the set on the left does not belong to the set on the right or equal to the set on the right



Common symbols: n for natural number set, Z for integer set, q for rational number set, etc. What is the basis for these symbols? What is the relationship between them?


It's international. It's a letter that starts with a Latin letter. It's probably Latin
Oh, I just checked if it's German
From the German zahlen
N natural numbers
Z said it
Q quotients of integers
R real numbers