How to calculate 2 ^ log2 ^ 3 = 3

How to calculate 2 ^ log2 ^ 3 = 3


Let log2 ^ 3 = X
2^x=3
therefore
2^log2^3
=2^x
=3



Simplify 18 degrees, 21 minutes, 36 seconds
To the degree


36 degrees



Let n be a positive integer, then the odd number can indicate why?
It's due tomorrow,


2n+1



Evaluation of cubic root 12-square root 5


=1.2599-2.2361
=-0.9762



How much is reduction equal to


2√3



The elimination of split terms in mathematical sequence
What is the general form? Give an example


Sum of split term phase elimination method
Divide the general term of a sequence into the difference or positive and negative cancellation of the two terms, leaving the first several terms
Common disassembly items:
⑴1/〔n(n+1)〕=1/n-1/(n+1)
⑵1/(2n-1)(2n+1)=1/2〔1/(2n-1)-1/(2n+1)〕
⑶1/〔n(n+1)(n+2)〕=1/2{1/〔n(n+1)-1/〔(n+1)(n+2)〕}
⑷n*n!=(n+1)!-n!
n/〔(n+1)!〕=1/n!-1/(n+1)!
You can give many examples according to the form
The fourth is factorial, that is n! = n (n-1) (n-2). 1
It's less used because it's played by computer. The fraction seems a little cumbersome. In fact, the form is very simple. As long as the landlord is more careful, I'm not afraid of trouble~



What is the symmetric function of image and X + 1 (x # 2) of function y = X-2 with respect to line y = x?


On the symmetry of the line y = x
So it's an inverse function
So x and y are swapped
x=(y+1)/(y-2)
xy-2x=y+1
(x-1)y=2x+1
y=(2x+1)/(x-1),x≠1



How to calculate the greatest common factor by short division?


For example:
2 |__ 36_______
2 |___ 18______
3 |___ 9______
three
It's not easy to type out the computer. Let's make do with it



If a > 0b > 0 and ab > = 1 + A + B, the minimum value of a + B is obtained


a> 0, b > 0, from the mean inequality we get (a + b) &# 178; ≥ 4AB
1+a+b≤ (a+b)²/4
(a+b)²-4(a+b)≥4
(a+b-2)²≥8
A + B ≥ 2 + 2 √ 2 or a + B ≤ 2-2 √ 2 (a > 0, b > 0, a + b > 0, rounding off)
The minimum value of a + B is 2 + 2 √ 2



A problem of senior two: sum -------- 1 + 2x + 3x ^ 2 + ······ NX ^ (n-1)
[(2-3×5^(-1)]+[4-3×5^(-2)]+…… +[2n-3 × 5 ^ (- n)] is also summation


Let s = 1 + 2x + 3x ^ 2 +... NX ^ (n-1)
xS=x+2x^2+3x^3+.nx^n
xS-S=-1-x-x^2-.-x^(n-1)+nx^n
=-(x^n-1)/(x-1)+nx^n
S=nx^n/(x-1)-(x^n-1)/(x-1)^2