For a > 0, a ≠ 1, which of the following statements is correct? Why? If M = n, then logam = Logan If logam = Logan, then M = n If logam & # 178; = Logan & # 178;, then M = n If M = n, then logam & # 178; = Logan & # 178; No one knows this question

For a > 0, a ≠ 1, which of the following statements is correct? Why? If M = n, then logam = Logan If logam = Logan, then M = n If logam & # 178; = Logan & # 178;, then M = n If M = n, then logam & # 178; = Logan & # 178; No one knows this question


Only the third is wrong and the others are correct. The correct reason is that if two logarithms are equal, then the base number and the true number correspond to each other



Proving m ^ Logan = n ^ logam


Let x = m ^ Logan
Then take the logarithm with a as the base
loga(x)
=loga[M^logaN]
=logaN*logaM
=logaM*logaN
=loga[N^logaM]
So x = n ^ logam
So m ^ Logan = n ^ logam



If 2loga (m-2n) = logam + Logan, the value of Mn is______ .


Because 2loga (m-2n) = logam + Logan, so loga (m-2n) 2 = loga (MN), so (m-2n) 2 = Mn, so m2-4mn + 4n2 = Mn, so (MN) 2 − 5MN + 4 = 0, so Mn = 4 or 1, because m > 2n, so Mn = 4, so the answer is: 4



A motorcade carries a batch of goods, 7 / 20 on the first day and the remaining 5 / 8 on the second day. If the next day carries 18 tons more than the first day, the total amount of this batch of goods can be calculated
A motorcade carries a batch of goods, 7 / 20 on the first day and the remaining 5 / 8 on the second day. If the next day carries 18 tons more than the first day, how many tons are there in total? (help me)


"The next day we shipped the remaining 5 / 8", that is to say, the next day we shipped 13 / 20 × 5 / 8 = 13 / 32,
So the next day is 13 / 32-7 / 20 = 9 / 160 more than the first day,
So the total amount of this batch of goods is: 18 △ 9 / 160 = 320 (tons)



(7 / 8 - 1 / 4 × 5 / 8) △ 17 / 32


(7/8 -1/4 ×5/8 )÷ 17/32
=7/8*32/17-1/4*5/8*32/17
=28/17-5/17
=23/17



Solving practical problems with quadratic equation of two variables
1. A two digit number, minus three times the sum of its digits, results in 23. This two digit number divided by the sum of its digits, the remainder is 1, the quotient is 5, what is this two digit number?
2. The hospital uses two kinds of raw materials (A and b) to provide nutrition for patients d after operation. Each gram of raw materials contains 0.7 units of protein and 0.4 units of iron. If patients need 35 units of protein and 40 units of iron per meal, how many grams of raw materials (A and B) can meet the needs of patients?


1. The answer is 56. The process of solving the problem is as follows: let the two digit ten digit number be x, and the one digit number be y, then the two digit number is equal to (10x + y) (1) according to "a two digit number, minus three times of the sum of its digits, the result is 23", we can write: (10x + y) - 3 (x + y) = 23, simplify 7x-2y = 2



The sum of the numerator and denominator of a fraction is 19. If 3 is added to both numerator and denominator to get 2 / 3, what is the original fraction?


Let the numerator of this fraction be x and the denominator be y
Then x + y = 19
x+3/y+3=2/3
x=7
y=12
So the original score was 7 / 12



Four times twenty five nine times five seven minus four times five three times five seven plus five three times twenty five forty nine


If the formula is:
4*9/25*7/5-4*3/5*7/5+3/5*49/25
Then it is equal to - 21 / 125 (21 / 125)



A book is priced at 27 yuan per book. If you sell it at a 20% discount, what percentage of profit can you get?


Cost: 27 (1 + 50%) = 18 (yuan)
New price: 27 * 0.8 = 21.6 yuan
New profit: (21.6-18) △ 18 = 20%



10.20.30.40.50.60.70.80.90
Variance sum operation process of 10,20,30,40,50,60,70,80,90


2000/3