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LenaWriter [7]
3 years ago
9

Expand the logarithm. log4 (3xyz​)^2

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0

Answer:

Answer is (2log2 + 2log3 + 2logx + 2logy + 2logz)

Step-by-step explanation:

log4(3xyz)²

= log4 + log(3xyz)²

= log4 + 2log(3xyz)

= log(2)² + 2[log3 + logx + logy + logz]

= 2log2 + 2log3 + 2logx + 2logy + 2logz

tangare [24]3 years ago
4 0
2<span>(<span>log4</span><span>(3)</span>+<span>log4</span><span>(x)</span>+<span>log4</span><span>(y)</span>+<span>log4</span><span>(z)</span><span>)</span></span>
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The sum of 5 consecutive even numbers is 216. What is the third number in the sequence
alexandr1967 [171]

Hello from MrBillDoesMath!

Answer:  NO solution possible!


Steps:

Let "n" be the first even number. We are told that


n + (n+2) + (n+4) + (n+6) + (n +8)  = 216


The third number, the value we want, is boldfaced above.


Simplify the above equation:

5n + ( 2 + 4 + 6 + 8 ) = 216   or


5n +  20  = 216  or

5n = 196


n = 196/5   is NOT an integer value.  This problem, as stated, has no solution.

Regards, MrB

4 0
4 years ago
Simplify (–2 – c )(–1)
Mkey [24]

The simplified expression of (-2 - c)(-1) is 2 + c

<h3>How to simplify the expression?</h3>

We have:

(-2 - c)(-1)

Express as product

(-2 - c) * (-1)

Evaluate the product

2 + c

Hence, the simplified expression of (-2 - c)(-1) is 2 + c

Read more about expressions at:

brainly.com/question/723406

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8 0
2 years ago
Find the mean and median of these data: 2, 5, 13, 15, 19, 21.
Maru [420]

The Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

<h3>What is Arithmetic mean?</h3>

Arithmetic mean is simply the average of a given set numbers. It is determined by dividing the sum of a given set number by their number of appearance.

Mean = Sum total of the number ÷ n

Where n is number of numbers

Median is the middle number in the data set.

Given the sets;

  • 2, 5, 13, 15, 19, 21
  • n = 6

Mean = Sum total of the number ÷ n

Mean = (2 + 5 + 13 + 15 + 19 + 21) ÷ 6

Mean = 75 ÷ 6

Mean = 12.5

Median is the middle number in the data set.

Median = ( 13 + 15 ) ÷ 2

Median = 14

Therefore, the Arithmetic Mean and Median of the given set of data ( 2, 5, 13, 15, 19, 21 ) are 12.5 and 14 respectively.

Learn more about arithmetic mean here: brainly.com/question/13000783

#SPJ1

3 0
2 years ago
PLEASE HELP THESE ARE MULTI STEP EQUATIONS!!!!!!!!!
dusya [7]

Answer:

1.-3

2.4

3.3

4. -4

5. -4

6.3

7. -19/9

8. -3

9.0

10. -2

Step-by-step explanation:

7 0
3 years ago
Plz help me i need 100%
leva [86]
The answer is D.) 5/7
7 0
3 years ago
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