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True [87]
2 years ago
5

Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y

Mathematics
1 answer:
Mashcka [7]2 years ago
4 0

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

log2z³ - log2y² + log9y⁴ + log9x¹²

= log2(z³/y²) + log9(y⁴x¹²)

Read more on logarithm laws;

brainly.com/question/10208274

#SPJ1

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How many units away is 1 from -6 on a number line?<br><br> -7<br> -5<br> 5<br> 7
mamaluj [8]
1 from -6 is 7 units away.
7 0
3 years ago
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numbers of the wide waters Club pay $105 per summer season plus $9.50 each time they rent a boat non members must pay $14.75 eac
Ahat [919]

The member pays  $9.50  to take a boat out,
plus  $105  just to be a member.

Let's call ' R ' the number of rentals

               Member Cost  =  (9.50 times R) + 105

        Non-member cost  =  (14.75 times R) .

You're interested in  when their costs are equal,
so at that point, we can write ...

           Member cost  =  non-member cost

                 9.5 R + 105  =  14.75 R

Subtract  9.5 R  from each side:  105  =  5.25 R

Divide each side by  5.25 :             20  =  R  

If you're going to rent a boat less than 20 times during the
Summer season, rent them at the non-member rate.

More than 20 times in 1 Summer, you'll save money by being
a member.  

This sounds a bit extreme to me.  If the Summer season means
ALL of May, June, July, August, and September, then you would
need to average more than one rental every 7.65 days ... a hair
more than one a week ... in order to save any money by being a
member.  I love sailboat rental, and I live just 2 miles from Lake
Michigan, but even at these prices (cheap), I would never average
a rental every week for 5 months.   So for me, there would be no
benefit in a membership ... at least not in the cost of boat rental.        

========================================

Another way to do it, with more brain but less algebra:

Each time a member rents a boat, he pays  (14.75 - 9.50) = 5.25
LESS than a non-member would pay to rent the same boat.
But in order to get that deal, he had to pay $105 "up front", at the
beginning of the season, before he ever rented anything.

How many times does he have to 'save' $5.25 before he makes up
for the the  $105 ?

           ($105) / ($5.25)  =  20 times .

8 0
3 years ago
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a factory manufactures a metal piece in 32 minutes now technology allowed the factory to cut the time by 8% then another Improve
aliya0001 [1]

Answer:

28 minutes

Step-by-step explanation:

First you have to find what 8% off of 32 is

If you take away 8% of 100% you have 92%

In order to find 92% of 32 you must divide 92 by 100 and multiply it by 32

.92 x 32 = 29.44

Then you have to take off another 5%

Of you take 5% off of 100% you have 95%

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Then round to the nearest minute

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7 0
3 years ago
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What is the solution to this equation x/5=25
amid [387]

Answer:

x = 125

Step-by-step explanation:

Given

\frac{x}{5} = 25

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x = 125

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How can you use a right angle to determine the classification of another angle
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Since a right angle is 90 degrees you can classify other angles by seeing if they are less or greater than a 90 degree angle.If it's less than 90 degrees its an acute angle.If it is greater than 90 than its obtuse but its less than 180.180 is a straight angle
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