How to find the exponent of a number = = .(41/144)=(1/2)^n How much is n. I remember what log or ln can be used to find it

How to find the exponent of a number = = .(41/144)=(1/2)^n How much is n. I remember what log or ln can be used to find it

N = log0.5 (41 / 144), that is, the logarithm of 41 / 144 with 0.5 as the base

5 / 3 of the number a is equal to 75% of the number B. It is known that book B is 80, and what is the number a?

80x75%=60
3/5x=60
x=100
The number a is 100

Given that | 2a-24 + 3M | + (3-b-m) quadratic = 0 and a > 0, B < 0, calculate the value range of M
The second power refers to the second power of (3-b-m)

2a-24+3m＝0,3-b-m＝0.
∴a＝﹙24-3m﹚/2 ＞0 b＝3-m＜0
The solution of the above inequalities is: 3

3 / 4 of the number a is equal to 2 / 3 of the number B. the number B is 27. What's the number a?

Number B 2 / 3 = 27 * 2 / 3 = 18
Number a 18 △ 3 / 4 = 24

It is known that the rank of the coefficient matrix of the system of five element non-homogeneous linear equations is 3. The three solution vectors of the system of five element non-homogeneous linear equations are X1 = (4,3,2,0,1) t and X2 = (2,1,1,4,0) t
X3 = (2,8,1,1,1) t, find the general solution of the equations

It is known that the basic solution system of the derived system of equations contains 5-3 = 2 vectors
So the general solution of the equations is
x1+c1(x1-x2)+c2(x1-x3)
=(4,3,2,0,1)T + c1(2,2,1,-4,1)T+c2(2,-5,1,-1,0)T

It takes 6 minutes to make a part, 5 minutes to make B part, and 3 minutes to make C part

Because the least common multiple of 6,5,4.5 is 90. In 90 minutes, a completed 15, B 18, C 20. A total of 53. 1590 / 53 = 30. So a completed 15 * 30 = 450, B 540, C 600

Solution equation: 49 + 7x = (50 + 8x) X90%

49+7x=(50+8x)x90%
49+7x=45+7.2x
7.2x-7x=49-45
0.2x=4
x=20

The total amount of oil stored in the two oil depots is 360 tons, of which 1 / 7 of the oil stored in a is equal to 1 / 5 of the oil stored in B. how many tons of oil are stored in each of the two oil depots?
(proportional solution)

If 1 / 7 of the oil in stock of a is equal to 1 / 5 of the oil in stock of B, then the oil quantity in stock of a = the oil quantity in stock of B x 1 / 5 △ 1 / 7 = 7 / 5 of the oil quantity in stock of B
So the oil quantity of reservoir a: the oil quantity of reservoir B = 7:5
The oil quantity of depot a = 360 x 7 / (5 + 7) = 210 tons
The oil quantity of depot a = 360 x 5 / (5 + 7) = 150 tons

``You can't answer it by solving equations. You should use equations``
The kindergarten distributes a basket of apples to the children. If 5 apples are distributed to each of the children in the large class, there will be 10 apples left; if 8 apples are distributed to each of the children in the small class, there will be 2 apples left?
List the whole formula

Step 1: find out the balance of apples if each child in the class has 8 apples
1. If each child in the small class is divided into 8 apples, there are already 2 apples missing; 2. If each child in the small class is less than that in the large class, the three children are also less than 8 apples, a total of 24 apples missing; 3. If each child in the large class is divided into 8 apples, there are 2 + 24 = 26 apples missing
Step 2: find the number of children in the big class
If each child in the big class has 5 apples, there will be 10 apples left (known); if each child in the big class has 8 apples, there will be 26 apples left (the first step). It can be seen that because each child has 3 more apples (8-5 = 3), there will be 36 more apples (10 + 26 = 36) left. The number of people in the big class is 36 / 3 = 12
Step 3: find the total number of apples
12 * 5 + 10 = 70
Comprehensive formula: [(2 + 3 * 8 + 10) / (8-5)] * 5 + 10 = 70

26-4 = [], first calculate [] - [] = [], then calculate [] - [] = []

First, 6-4 = 2, then 20-0 = 20, and the total is 22