What is 4 ^ (log 3 with base 2) equal to

What is 4 ^ (log 3 with base 2) equal to

4 ^ (log 3 with 2 base) = (2 ^ (2xlog 3 with 2 base) = (2 ^ (log 3 with 2 base)) ^ 2 = 9

Let log base 4 (1 + √ 2 + √ 3) + log base 4 (1 + √ 2 - √ 3) be equal to?

Log base 4 (1 + √ 2 + √ 3) + log base 4 (1 + √ 2 - √ 3) equals log base 4 (1 + √ 2 + √ 3) * (1 + √ 2 - √ 3) equals log base 4 (3 + 2 √ 2-3) equals log base 4 2 √ 2 equals 3 / 4

With the help of calculator or computer, the integral solution of equation (x + 1) (X-2) (x-3) = 1 in the interval (- 1,0) can be obtained by dichotomy

Let f (x) = (x + 1) (X-2) (x-3); f (- 1) = 0 < 1, f (0) = 6 > 1; so the root is on (- 1, 0); next, look at the average of - 1 and 0 - 12; F (- 12) = 356 > 1, so the root is on (- 1, - 12), then look at the average of - 1 and - 12 - 34; f (- 34) = 16564 > 1, so the root is on (- 1, - 34), then look at the average of - 1 and - 34 - 78; f (- 78) = 713512 If f (- 1516) = 29614096 ＜ 1, then the root is on (- 1516, - 78) Because - 1516 = - 0.9375, - 78 = - 0.875; both of them retain integers as 0; therefore, the approximate solution of the equation is x ≈ 0

How to solve quadratic equation with one variable?

The solution of quadratic equation with one variable I. key points of knowledge: quadratic equation with one variable and linear equation with one variable are integral equations. It is an important content of junior high school mathematics and the basis of learning mathematics in the future. Students should pay attention to it. The general form of quadratic equation with one variable is: AX2 + BX + C = 0, (a ≠ 0), which only contains one

The proof of function boundedness
How to prove (1) y = 1-sinx + 7cos3x
(2)y=(arctanx)/(1+x^2)
The boundedness of?

The absolute value of Y

Given A-B = 3, ab = 10, then the value of A2 + B2 is ()
A. 27B. 28C. 29D. 30

If A-B = 3 is squared, then: (a-b) 2 = A2 + b2-2ab = 9, and ab = 10 is substituted into: A2 + b2-20 = 9, then A2 + B2 = 29

(x-16) [100-8 (x-20)]?

(x-16)(100-8x+160)=504
-(x-16)(8x+260)=504
Divide both sides by - 4
(x-16)(2x+65)=-126
2x²+33x-914=0
Formula of substituting root
b²-4ac=8401
x1=(-33-√8401)/4,x2=(-33+√8401)/4

Solve the equation x divided by 1.5-1.25 = 0.75 120-9x = 1.2 times 6.25
It's separate,

X divided by 1.5-1.25 = 0.75
x÷1.5=2
x=3
120-9x = 1.2 times 6.25
120-9x=7.5
9x=112.5
x=12.5

Given that the sum of the first n terms of an is Sn, a1 + a3 + A5 - (A2 + A4) = 8, A1 ^ 2 + a3 ^ 2 + A5 ^ 2 + (A2 ^ 2 + A4 ^ 2) = 12, then S5 =?
My brother took the college entrance examination 3 / 2 immediately

A1 + a3 + A5 - (A2 + A4) = A1 (1-Q + Q ^ 2-Q ^ 3 + Q ^ 4) = A1 (1 + Q ^ 5) / (1 + Q) = 8; ① A1 ^ 2 + a3 ^ 2 + A5 ^ 2 + (A2 ^ 2 + A4 ^ 2) = A1 ^ 2 (1 + Q ^ 2 + Q ^ 4 + Q ^ 6 + Q ^ 8) = A1 ^ 2 [1 - (Q ^ 2) ^ 5] / (1-Q ^ 2) = A1 ^ 2 (1-Q ^ 5) (1 + Q ^ 5) / [(1-Q) (1 + Q)] = 12; ② A1 (1-Q ^ 5) / [(1-Q) (1 + Q)] = 3 / 2 from ② / ①

14X-4(X+5)=30.5

10x-20=30.5
x=5.05