The solution set of the equation LG (4x + 2) = lg2x + Lg3 is______ ．

The solution set of the equation LG (4x + 2) = lg2x + Lg3 is______ ．

∵ LG (4x + 2) = lg2x + Lg3, ∵ LG (4x + 2) = LG (3 · 2x), that is 4x + 2 = 3 · 2x, that is 4x-3 · 2x + 2 = 0, that is (2x-1) (2x-2) = 0, then 2x = 1 or 2x = 2, the solution is x = 0 or x = 1, so the solution set of the equation is {0, 1}, so the answer is: {0, 1}

If LG (2x + 4) + LG (4x-2) = lg2-lg3, then x=

That is LG (2x + 4) (4x-2) = LG (2 / 3)
8x²+12x-8=2/3
8x²+12x-26/3=0
x=(-9±√237)/12
True number 2x + 4 > 0,4x-2 > 0
So x > 1 / 2
therefore
x=(-9+√237)/12

If LG2, LG (2 ^ x-1), LG (2 ^ x + 3) are in arithmetic sequence, what is the value of X

Because LG (2 ^ x-1) - LG2 = LG (2 ^ x + 3) - LG (2 ^ x-1)
So (2 ^ x-1) / 2 = (2 ^ x + 3) / (2 ^ x-1)
Let 2 ^ x = a
Namely
After simplification, a ^ 2-4a + 5 = 0
That is, (a-5) (a + 1) = 0
Because 2 ^ x > 0
SO 2 ^ x = 5
So x = 2 under the root of 5
That is, x = logarithm of base 5 with 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 transformed into (2x-1) 2 = 2x + 1 + 6, sorted into (2x) 2-4 × 2x-5 = 0, that is, (2x-5) (2x + 1) = 0, (*) ∵ 2x > 0, ∵ 2x + 1 > 1, ∵ 2x + 1, ∵ (*) into 2x = 5, which is transformed into logarithmic formula x = log25

There are 160 red, yellow and white balls. If you take out 13 red balls, 14 yellow balls and 15 white balls, there are 120 left. If you take out 15 red balls, 14 yellow balls and 13 white balls, there are 116 left. How many red, yellow and white balls are there?

According to the above analysis, take 160 ／ 40 = 4 times just finished, red ball is still poor: 43-1 = 13, white ball is more than 1-45 = 15, yellow ball is finished; it shows that 13 of red ball is equal to 15 of white ball, the ratio of red ball and white ball is 3:5; according to the comparison of two schemes, it is found that 13-15 = 215 of white ball is more than 215 of red ball by 4

How many centimeters is two feet three? How many feet and inches is 90 centimeters?

1 meter = 3 feet = 100 cm
2 feet 3 = 2.3 feet
2.3 / 3 * 100 = 76.7 cm
90cm = 0.9ft = 0.9in

Looking for rules in primary school mathematics 51 () () 47

50 and 48
Add 51 and 1 to get 51, 52 = 2 times 26
Add 47 to 1 to get 48, 48 = 2 times 24
So there's 50 in the middle (= 2 times 25)
So if you subtract 2, you get 50-2 = 48

2. The difference between the numbers a and B is 9. One sixth of the number a is equal to one fourth of the number B. the number a is (). 3
It's 5 kg. The remaining wire weighs 75 and a quarter. This bundle of wire is () M
5. There is a series of numbers: 2 + 4,8 + 5,14 + 6,20 + 7. Each number is arranged according to the law, and the 99th number is () + ()

1. The number a is 27
2.802.5m
5.590+102

How much sodium hydroxide and water are needed to prepare 500 ml 10% sodium hydroxide solution (density is 1.1 g / cm3)?

To prepare 500ml (500cm3) sodium hydroxide solution with 10% mass fraction, the mass of sodium hydroxide is 500cm3 × 1.1g/cm3 × 10% = 55g; the mass of water is 500cm3 × 1.1g/cm3-55g = 495G. A: the mass of sodium hydroxide and water are 55g and 495G respectively

How to do well in geometry proof of mathematics in grade one of junior high school
I can, but I don't understand [writing method] I'm talking about the writing method of intersecting line and parallel line
Do me a favor. I've moved out my family. Reward points: how can I do 100

Brother, do you really want to know how to do well in geometry proof? If you have the determination, it's very easy to do. There is only one way, that is to remember two or three examples in the book, and then do three or five problems. If you don't know how to write them, you should write them according to the examples in the book! Remember, one point of negative will bring one point of gain