SQTE-017 finishedfinishedfinishedfinishedfinishedfinishedfinishedfinishedfinishedfinishedFinished
#### 问题
Consider the following situation: There is a nucleated village. The village has a parameter that is determined by its population size. This parameter (let's call it) is directly proportional to the quotient of the square root of the population and the logarithm of the population. If the population takes the value of 100, what is the value of xx?
#### Solution
Let's take a step to solve the problem. We are given that the parameter is directly proportional to the quotient of the square root of the population and the logarithm of the population. This means that xx can be represented as:xx
x=k×populationlogarithm of populationx = k imes frac{sqrt{ ext{population}}}{logarithm of population}
where is a proportionality constant. Our goal is to find the value of kk when the population is 100. So, let's replace the population with 100 in the equation:xx
x=k×100logarithm of100x = k imes frac{sqrt{100}} {logarithm of 100}
Simplify the square root and the logarithm of 100:
100=10,logarithm of100=2sqrt{100} = 1, logarithm of 100 = 2
Now, let's rewrite the equation:
x=k×102x = k imes frac{10}{2}
The final determination of is:xx
x=k×5x = k imes 5
Therefore, the value of when the population is 100 is:xx
x=5x = 5
So, the final answer is:
x=5x = 5
#### SOLUTION
Using a mathematical statement, the final value of is xx.55
Step 1: Let's take a step to solve the problem. We are given that the parameter is directly proportional to the quotient of the square root of the population and the logarithm of the population. This means that xx can be represented as:
x=k×populationlogarithm of populationx = k imes frac{sqrt{ ext{population}}}{log of population}
where is a proportionality constant. Our goal is to find the value of kk when the population is 100. So, let's replace the population with 100 in the equation:
x=k×100logarithm of100x = k imes frac{sqrt{100}} {log of 100}
Simplify the square root and the logarithm of 100:
100=10,logarithm of100=2sqrt{100} = 1, logarithm of 100 = 2
Now, let's rewrite the equation:
x=k×102x = k imes frac{10}{2}
The final determination of is:
x=k×5x = k imes 5
Therefore, the value of when the population is 100 is:xx
x=5x = 5
So, the final answer is:
x=5x = 5
Using a mathematical statement, the final value of is xx.55
1月 29日 2012年
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