How to divide [the square of log (6) + the square of log (6) + 2log (6). Log (6)] by 2log (6)!

How to divide [the square of log (6) + the square of log (6) + 2log (6). Log (6)] by 2log (6)!

The first answer is not right. After the double log (6) is put forward, it will be approximate to the divisor and get log (6) + log (6), which is equal to 1

Mathematical exponential logarithm calculation
1、[(-2)^6]1/2= 2、10^(2-lg5/2)=

1. [(-2)^6]1/2=[(-1)^6*2^6]/2=2^(6-1)=2^5=32
2. 10^(2-lg5/2)=(10^2)/(10^lg5/2)=100/(5/2)=100*2/5=40

Try to compare the size relationship between (X-5) ^ 2 and (x-4) (X-6)

(X-5)^2=x^2-10x+25
（X-4)(X-6)=x^2-10x+24
So (X-5) ^ 2 > (x-4) (X-6)

Finding the rational root of x ^ 4-5x ^ 3-x ^ 2-x + 3 = 0

Recommend a lemma: if the integral coefficient equation a0x ^ n + A1 * x ^ n-1 + A2 * x ^ n-2 +. +... An = 0 has rational root P / Q, then p │ an, Q │ A0
Because an = 1, A0 = 3, so p = 1, q = 1, 3, obviously these two rational numbers are not the roots of the equation, so we can judge that the original polynomial equation with integral coefficients has no rational roots

A cylinder is 8 cm high. If its height is increased by 2 cm, its surface area will be increased by 25.12 square cm. What is the original surface area of the cylinder

zhangqiqi72811,
Perimeter of bottom surface:
25.12 △ 2 = 12.56 (CM)
Bottom radius:
12.56 ﹣ 3.14 ﹣ 2 = 2 (CM)
The bottom area is:
3.14 × 2 × 2 = 12.56 (cm2)
The lateral area is: 1
12.56 × 8 = 100.48 (cm2)
The surface area is as follows
100.48 + 12.56 × 2 = 125.6 (cm2)

In △ ABC, a = 80, B = 100, a = 30 °, then the number of solutions of B is ()
A. 0b. 1C. 2D. Not sure

Because a = 80, B = 100, a = 30 °, according to the sine theorem: Asina = bsinb, substitute SINB = 58, because B ∈ (0, π), so B = arcsin58 or B = π - arcsin58, so choose C

3 + 2 root 2 under root sign=
(A3 represents the third power of a)
a3+b3= a3-b3=
It's better to write the process

2 = 1.732 + 2 * 1.414 = 4.56
(A3 represents the third power of a)
a3+b3=(a+b)(a2-ab+b2)
a3-b3=(a-b)(a2+ab+b2)

There are chickens and rabbits in a cage. Counting their feet, there are 66, counting their heads, there are 24. How many chickens and rabbits are there in the cage

x+y=24
4x+2y=66
4x+4y=96
4x+2y=66
2y=30
y=15
x=9
Chicken 15, rabbit 9

X + Y 1 / 2 = 5, XY + XY 1 / 2 = 18, how much is y + x 1 / 2

Because
(x+1/y)(y+1/x)
=xy+1+1+1/xy
=18+2=20
So y + 1 / x = 20 / 5 = 4

Seven times of a number minus itself, the difference is 23.4, what's the number? It's urgent! It's due tomorrow!

Let the number be X
The result is: 7x-x = 23.4
X=3.9