Log2 (3), log2 (3 ^ x-1), log2 (3 ^ x + 37 / 3) into arithmetic sequence, find X

Log2 (3), log2 (3 ^ x-1), log2 (3 ^ x + 37 / 3) into arithmetic sequence, find X

Log2 (3), log2 (3 ^ x-1), log2 (3 ^ x + 37 / 3) form arithmetic sequence
The results are as follows:
2log2(3^x-1)=log2(3)+log2(3^x+37/3)
log2(3^x-1)^2=log2(3(3^x+37/3))
(3^x-1)^2=3^(x+1)+37
Solve the equation: let 3 ^ x = a > 0
(a-1)^2=3a+37
a^2-2a+1-3a-37=0
a^2-5a-36=0
(a-9)(a+4)=0
A = 9, (negative value rounded off)
therefore
3^x=9
x=2
It meets the requirements,
So what we're looking for is X
It's x = 2

If LG2, LG (2x-1), LG (2x + 3) are in arithmetic sequence, then the value of X is equal to______ ．

∵ LG2, LG (2x-1), LG (2x + 3) are in arithmetic sequence, ∵ 2lg (2x-1) = LG2 + LG (2x + 3), ∵ LG (2x-1) 2 = LG (2x + 1 + 6), which is reduced to (2x-1) 2 = 2x + 1 + 6 and sorted into (2x) 2-4 × 2x-5 = 0, that is, (2x-5) (2x + 1) = 0, (*) ∵ 2x > 0, ∵ 2x + 1 > 1, ∵ (*)

X ^ (log2 x) = 32x ^ 4 log2 x 2 is below
x^(log2 x)=32x^4
Log2 x 2 is below

Take logarithm, base is 2
log2(x)*log2(x)=log2(32)+log2(x^4)
Let a = log2 (x)
Then a ^ 2 = 5 + 4a
a^2-4a-5=0
a=5,a=-1
log2(x)=5,log2(x)=-1
x=32,x=1/2

Log2 ^ 3 = a, then log8 ^ √ 3=_______ Need detailed explanation!

log8^√3
=log2^√3/log2^8
=0.5*log2^3/3
=a/6

Given the equations 3x-2y = - M + 1 or 2x-y = M-1, what is the value of m when x is greater than y?

3x-2y=-m+1
2x-y=m-1
*2-
x=3m-3
y=5m-5
be
3m-3>5m-5
2m

Who can give me some questions about special relativity
It's better to have an answer and a process. If there is no process, just write an answer

According to the special theory of relativity, when an object moves at the speed V, its mass m is greater than the mass M0 at rest. If M0 is still used in solving the problem, there will be a certain error. Q: when the speed V of the object reaches how big, will m have a 1% error relative to M0?
From the known formula: 1-m0 / M = 1%, that is, the square of 1-V / C under 1-radical = 1%, v = 4230000m / s can be obtained

In the 20 cm long and 8 cm wide rectangular iron sheet, dig out the two largest circles. What is the remaining area of square centimeter?
At eight o'clock tonight, after answering (formula, short explanation), offer a reward for Wealth: 5

The two largest circles are 8cm in diameter
Remaining area
=Rectangular area - two 8 cm diameter circles
=20×8-π×4²-π×4²
=160-100.48
=59.52cm²
What's wrong with this question,

Structure of AC motor

AC motor is mainly composed of an electromagnet winding or distributed stator winding used to generate magnetic field and a rotating armature or rotor. The motor is made of the phenomenon that the electrified coil is forced to rotate in the magnetic field
AC motor is composed of stator and rotor, and the stator and rotor use the same power supply, so the direction of current in the stator and rotor always changes synchronously, that is, the direction of current in the coil changes, and the direction of current in the electromagnet also changes. According to the left-hand rule, the direction of magnetic force on the coil remains unchanged, and the coil can continue to rotate

A cylinder with a circumference of 18.84 cm and a height of 10 cm at the bottom is put together to form an approximate cuboid. The area of the cuboid's bottom is (); its volume is (); and its surface area is ()

The bottom area of the cuboid is (9.42 * 3 = 28.26 square centimeter), the volume is (28.26 * 10 = 282.6 cubic centimeter), and the surface area is (2 * (9.42 * 3 + 9.42 * 10 + 3 * 10) = 304.92 square centimeter)
Bottom radius: 18.84 / (2 * 3.14) = 3cm
The bottom length of the cuboid is 18.84/2 = 9.42, and the width is 3cm

On the formation of the problem formula, such as the pursuit problem. Give more. There are workload problems also give some formula
Do me a favor, great Xia

Formula of sum difference problem
(large decimal) divided by 2 = decimal
The formula of sum multiple problem
Sum divided by (multiple + 1) = decimal
The formula of difference multiple problem is a little unclear
The formula of average problem
Sum of several numbers divided by number = average
Formula of general travel problem
Speed * time = distance
The formula of train crossing bridge
Bridge length + vehicle length = speed * time
The formula of sailing problem
Downstream velocity upstream velocity = 2 water velocity
There is no fixed formula for the chicken rabbit problem
The formula of average number problem (one number + another number) △ 2
The formula of the reverse travel problem is distance (high speed + low speed)
Formula of travel in the same direction
The formula of sailing problem is the same as above
The formula of train crossing bridge (train length + bridge length) △ speed
Engineering problem formula 1 △ speed and
The formula of profit and loss problem (profit + loss) △ the difference between two times
Interest rate problem formula total profit △ cost × 100%