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Trava [24]
2 years ago
15

What is 3 log Subscript 2 Baseline x minus (log Subscript 2 Baseline 3 minus log Subscript 2 Baseline (x + 4)) written as a sing

le logarithm?
Mathematics
2 answers:
KonstantinChe [14]2 years ago
6 0

Answer:

A.

Step-by-step explanation:

Serhud [2]2 years ago
3 0

Answer:

\log_{2} [\frac{x^{3}(x + 4)}{3}]

Step-by-step explanation:

We have to write the following logarithmic expression as a single logarithm.

The given expression is

3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]

= 3\log_{2} x - \log_{2} (\frac{3}{x + 4})

{Since, \log A - \log B = \log \frac{A}{B}, from the properties of logarithmic function }

= \log_{2} x^{3}  - \log_{2} (\frac{3}{x + 4})

{Since, a\log b = \log b^{a}, which also a logarithmic property}

= \log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]

= \log_{2} [\frac{x^{3}(x + 4)}{3}] (Answer)

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Because it b

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2 years ago
mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?
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Step-by-step explanation:

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5 0
1 year ago
Explain how u would use the integer tiles to find the quotient of -15 and 3
vova2212 [387]

Answer:

(-15)/3 = -5  

Step-by-step explanation:

(-15)/3

Assume that your positive tiles are yellow, and your negative tiles are red.

The question is asking, "if you take 15 red tiles and split them into three equal groups, how many will you have in each group?"

How can you model the first value of -15?  With 15 red tiles.

Let’s model how to divide the tiles into three equal groups by moving one tile at a time into three separate groups until all 15 tiles have been moved.

Step 1.

Start with 15 red tiles, as in the first picture.

Step 2.

Start by moving tiles one at a time to begin creating three new groups.

The middle picture shows the situation after you have moved the first three tiles.

Step 3.  

Continue moving tiles one at a time from the original group and stacking them evenly in the three new groups until you have no more tiles to move.  

The third picture shows the situation when you have finished.

How many red tiles are in each group?  There are five.

Is the answer positive or negative?  The answer is negative, because there are five red negative tiles in each group.

Conclusion? (-15)/3 = -5

3 0
2 years ago
Read 2 more answers
According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p
Feliz [49]

Answer:

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 ..... + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .

4 0
2 years ago
An airline gathers data on late departures and early arrivals over a month. It finds that the probability of a late departure is
Slav-nsk [51]

Answer:

answer is C (0.12+0.27-0.12)

Step-by-step explanation:

3 0
2 years ago
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