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irinina [24]
3 years ago
5

Which exponential equation correctly rewrites this logarithmic equation? log6 18=x

Mathematics
1 answer:
Zanzabum3 years ago
3 0

Given:

The logarithmic equation is:

\log_618=x

To find:

The exponential equation of this logarithmic equation.

Solution:

According to the properties of logarithm:

\log_bm=x\Leftrightarrow m=b^x

We have,

\log_618=x

Here, b=6, m=18. Using the above property of logarithm, we get

18=6^x

Therefore, the required exponential equation is 18=6^x.

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If 8 identical blackboards are to be divided among 4 schools,how many divisions are possible? How many, if each school mustrecei
MAXImum [283]

Answer:

There are 165 ways to distribute the blackboards between the schools. If at least 1 blackboard goes to each school, then we only have 35 ways.

Step-by-step explanation:

Essentially, this is a problem of balls and sticks. The 8 identical blackboards can be represented as 8 balls, and you assign them to each school by using 3 sticks. Basically each school receives an amount of blackboards equivalent to the amount of balls between 2 sticks: The first school gets all the balls before the first stick, the second school gets all the balls between stick 1 and stick 2, the third school gets the balls between sticks 2 and 3 and the last school gets all remaining balls.

 The problem reduces to take 11 consecutive spots which we will use to localize the balls and the sticks and select 3 places to put the sticks. The amount of ways to do this is {11 \choose 3} = 165 . As a result, we have 165 ways to distribute the blackboards.

If each school needs at least 1 blackboard you can give 1 blackbooard to each of them first and distribute the remaining 4 the same way we did before. This time there will be 4 balls and 3 sticks, so we have to put 3 sticks in 7 spaces (if a school takes what it is between 2 sticks that doesnt have balls between, then that school only gets the first blackboard we assigned to it previously). The amount of ways to localize the sticks is {7 \choose 3} = 35. Thus, there are only 35 ways to distribute the blackboards in this case.

4 0
3 years ago
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Artyom0805 [142]
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Find x (round to the nearest tenth)
never [62]

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

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  AB/BD = CD/DE

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  x = 12(4/6)

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