Log2 =? How to calculate Log2 =?, how to calculate The base is the default ten

Log2 =? How to calculate Log2 =?, how to calculate The base is the default ten

That is to say, the power of 10 is 2

How does log2 work out

It's worked out by computer
One of the algorithms: find LG2, is to find the power of 2 is equal to 10, let it be X
So we can find two real numbers a and B first,
Make 2 ^ a < 10 < 2 ^ B
Let 2 ^ B - 2 ^ a get smaller and smaller, and get closer and closer to 10, until the accuracy you need is met
In this way, all logarithms can be found

Why log2 (10) = a, 1 / a equals LG2?

log2(10)=lg10/lg2=a,1/a=lg2/lg10=lg2

Given the function f (x) = (x2 + 2x + a) / x, X belongs to [1, + ∞) a, and a = 1 / 2, we can find the minimum value B of F (x) for any X
If [1, + ∞) f (x) > 0 is constant, the value range of a is obtained

f(x)=(x^2+2x+a)/x=x+2+a/x
And f '(x) = 1-A / x ^ 2
Substituting a = 1 / 2, f '(x) = 1-1 / 2x,
When x > 1 / 2, f '(x) > 0,
So, B = f (1) = 1 + 2 + 1 / 2 = 7 / 2
When x ≥ 1, x > 0,
F (x) > 0, equivalent to x ^ 2 + 2x + a > 0,
That is x ^ 2 + 2x + 1 + A-1 > 0
(x+1)^2+a-1>0
Because (x + 1) ^ 2 ≥ 4,
So A-1 > - 4
That is a > - 3
So the value range of a is: {a | a > - 3}

Observe the following formula and write down the rules
1×3＋1＝4＝2²
2×4＋1＝9＝3²
3×5＋1＝16＝4²
4×6＋1＝25＝5²

n*(n+2)+1=(n+1)²

In a subtraction formula, we know that the sum of the difference between the subtracted number and the subtracted number is 900. The difference between the subtracted number and the subtracted number is four times that of the subtracted number. What is the difference between the subtracted number and the subtracted number

Subtracted = subtracted + difference
Subtracted + subtracted + difference = 2 subtracted = 900
Subtracted = 900 / 2 = 450
Subtraction = 4 difference
Subtracted = subtracted + difference = 5 difference
Difference = 450 / 5 = 90
Subtraction = 4 difference = 4 * 90 = 360

Can the position of XYZ three axes in the space rectangular coordinate system be marked at will? As long as it is vertical?

General situation, as shown in the figure below. Space rectangular coordinate system can also be marked by three sides according to the situation, because there will be some questions that will not be marked according to the normal, so you have to pay attention to them, or you are likely to make mistakes

Given that the image parallel line y = - 5x of the first-order function intersects the hyperbola y = - 2 / X at the point m (- 2, m), its analytical formula is obtained

Function analytic formula y = 5x + B
By substituting (- 2, m) into y = - 2 / x, the solution is m = 1
Substituting (- 2,1) into y = 5x + B solution, we get b = 11
Function analytic formula y = 5x + 11

How to find the reciprocal of a negative number? Also, can the position of the symbol in the fraction be changed?
How to find the reciprocal of negative number? Can the denominator, numerator and the sign of fraction itself be changed?
Is the minus sign of the reciprocal of a negative number placed on the numerator or denominator or the fraction itself

Reciprocal is defined as two numbers multiplied by one
So divide 1 by that number
The denominator, numerator and the sign of the fraction itself change two of them at the same time, and the value of the fraction remains unchanged

It is known that a > 1,0

It is known that a > 1,0