Solving equation log base X-1 true number 2 * x2-6x + 4 = 2

Solving equation log base X-1 true number 2 * x2-6x + 4 = 2

(x-1)²=2x²-6x+4
x²-2x+1=2x²-6x+4
x²-4x+3=0
x=1,x=3
Base X-1 > 0 and ≠ 1
So x > 1 and ≠ 2
So x = 3
True number 2x & sup2; - 6x + 4 > 0
X = 3 holds
So x = 3

The function f (x) = log (A & # 178; - 1) (base) [x & # 178; - 2x + 3] is a true number. If x belongs to [0,3], f (x) > 1 is constant, the value range of a is obtained

X & # 178; - 2x + 3 = (x-1) 2 + 2 x belongs to [0,3] X & # 178; - 2x + 3 in [2,6]
(1) When a & # 178; - 1 > 1, that is, a > 2 or a

Log with (2x & # 178; - 1) as the base and (3x & # 178; + 2x-1) as the logarithm = 1 to get X

From log: (2x & # 178; - 1) = (3x & # 178; + 2x-1)
That is X & # 178; + 2x = 0
x（x-2）=0
x1=0,x2=2
Take X1 and X2 into 2x & # 178; - 1,3x & # 178; + 2x-1 to test that X1 = 0 is rounded off (the base is greater than 0.)
∴x=2

If ^ NY ^ 2 of - 5x is the same as 12x ^ 3Y ^ 2m, then M + n =?

If ^ NY ^ 2 of - 5x is the same as 12x ^ 3Y ^ 2m,
n=3；
2m=2；
m=1；
Then M + n = 1 + 3 = 4;
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1000 ml = how many cubic meters and how many cubic centimeters

1000 ml is 1000 cubic centimeter, so 1000 ml = 0.001 cubic meter

The distance between a and B is 480 km, and the passenger and freight cars are running from a and B at the same time. The average travel time of passenger cars is 65 km per hour, and that of freight cars is 60 km per hour. After driving for 3 hours, how many kilometers are there between the two cars?

480 - (65 + 60) × 3, = 480-125 × 3, = 480-375, = 105 (km); a: at this time, the two cars are still 105 km apart

How to solve x-cube-2x-x + 2 = 0

X3 - 2X2 -X+2=0
X(X2 - 2X)-X+2=0
X square * (X-2) - x + 2 = 0
(xsquare-1) (X-2) = 0
X-2 = 0 or xsquare-1 = 0
So x = 1, - 1 or 2

5x-2 > 3 (x + 1) X-1 of 2 ≤ 3x of 7-2

(1) 5x-2 > 3 (x + 1), the solution is x > 5 / 2
(2)(x-1)/2≤3x/(7-2)
( x-1)/2≤3x/(7-2)+ 3/(7-2)-3/(7-2)
( x-1)/2≤3(x-1)/(7-2)+ 3/5
( x-1)(1/2-3/5)≤3/5
The solution is x ≥ - 5
Finally, we can get x > 5 / 2

If a cylinder wood is cut into two small cylinders, its surface area will increase by 12.56 square decimeters. If it is split into two and a half cylinders along the diameter, its surface area will increase by 120 square decimeters

If you cut it into two small cylinders and increase the area, you will get two bottom areas
2S base = 2 π R & sup2; = 12.56,
If it is split into two half cylinders, the increased area is the area of two rectangles
2*2r*h=120,
The surface area of the original cylinder is
S = 2S bottom + s side = 12.56 + 2 π RH = 12.56 + 60 π = 201.06 square decimeter

ABCDE multiplied by a is equal to six e, what number does ABCDE represent

ABCDE is 79365
The idea is as follows:
ABCDE
* A
------------------------
EEEEEE
Starting from the individual bit: the accumulated individual bit obtained by multiplying e by another number still gets e, e can only be 0 or 5, but here obviously e is not 0, so e is 5
It is easy to think that 8 * 8 = 64 has exploded; 7 * 7 = 49, if carry 6 is exactly equal to 55; 6 * 6 = 36, if carry 19 is also equal to 55, but obviously carry 19 is impossible. So a is 7
7BCD5
* 5
----------------------
five hundred and fifty-five thousand five hundred and fifty-five
When a is 7 and E is 5, it's easy to get other numbers