If the two equations (LG ^ 2x) + LG6 * lgx + LG2 * Lg3 = 0 are X1 and X2, then the values of X1 and X2 are

If the two equations (LG ^ 2x) + LG6 * lgx + LG2 * Lg3 = 0 are X1 and X2, then the values of X1 and X2 are


(LG ^ 2x) + LG6 * lgx + LG2 * Lg3 = 0 (lgx + LG2) (lgx + Lg3) = 0 lg2x * lg3x = 0 2x = 1 or 3x = 1, x = 1 / 2 or x = 1 / 3



Find the definition field of the function y = log10 (a) to the power x-k multiplied by the power X of 2


a^x-k2^x>0
That is, a ^ x > K2 ^ x, divide both sides by 2 ^ x at the same time
(a/2)^x>k
1. When a / 2 > 0 and K < 0, (A / 2) ^ x > K is constant, and the domain of function definition is any real number
2. When a / 2 > 0, k > 0
① When a / 2 > 1, i.e. a > 2, k > 0,
The function definition field is x > loga / 2K (i.e. logarithm with a / 2 as the base K)
② When 0 < A / 2 < 1, that is, 0 < a < 2, k > 0
Function definition field is x < loga / 2K (i.e. logarithm of base K with a / 2)



What is the negative power of 0.09


What is the negative power of 0.09 = 100 / 9



There are two kinds of mobile phone charges in a telecom company: the monthly rent is 50 yuan, and the local call fee is 0.40 yuan
Scheme 2: no monthly rent, local call fee is 0.6 yuan per minute. Mr. Zhang estimates that the local call time is 250-300 minutes (excluding 250 minutes) per month. Which scheme is more cost-effective?
Using the linear inequality of one variable,


Set the time to X minutes
If the first one is good
Then 50 + 0.4x50
x>250
And here's 250



When playing billiards, sometimes it is necessary to hit the edge of the billiards table with the white ball first, then bounce back, hit the billiards, white ball a first hit the table B, D rebound, and then hit the black ball


Therefore, ∠ 4 is 50 degree
Moreover, because ∠ 3 = 4, ∠ 3 is 50 °
And ∠ 2 + 3 = 90 degrees, so ∠ 2 is 40 degrees
So ∠ 1 is 40 degrees!



My mother bought Mingming three pencils and a pen, which cost 13.50 yuan. The price of the pen is six times that of the pencil. What's the price of eggs in Hong Kong dollars and coins?


Let the pencil be X Yuan and the pen be 6x yuan
3X+6X=13.50
9X=13.50
X=13.50/9
X=1.50
6 * 1.50 = 9 yuan
A: the unit price of pencil is 1.5 yuan, and that of pen is 9 yuan



Xiaoming Xiaoqiang Xiaohai three friends go out in a taxi together. We agree to share the fare according to the length of their journey. Xiaoming gets off at one fourth of the journey. Xiaoqiang gets off at three fifths of the journey. Only the child gets to the destination. The child bears the fare of 37 yuan. How much does Xiaoming Xiaoqiang pay to the child


Xiaoming paid 5 yuan, Xiaoqiang paid 12 yuan, Xiaohai paid 20 yuan, a total of 37 yuan
1/4X+3/5X+X=37
X=20
For reference!



It is known that one side of a cuboid paperless box is square, and the length of two edges is 4cm and 5cm. Calculate the surface area and volume of the box


One face is square - well, if only one face is square, then this face must be the bottom, and then the length and width are equal. There are two schemes:
1 length = width = 4 height = 5
2 length = width = 5 height = 4



Given three mutually unequal positive numbers ABC, when a ^ 2 + C ^ 2 = 2BC, the order of their sizes





Elementary school sixth grade mathematics and life essay (more than 600 words)


One day, when I was shooting, the ball fell down and rolled under the bed. When I hooked it out with a bamboo pole, I also got an unexpected harvest: a billiard ball. It was almost one tenth of the size of "Basketball". I used the ball for a long time