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prohojiy [21]
1 year ago
6

I know the answer just need someone explain to me how to solve it

Mathematics
1 answer:
Vinvika [58]1 year ago
3 0

The logarithm of a quotient can be written as a difference of logarithms:

\log_3\left(\dfrac uv\right) = \log_3(u) - \log_3(v)

You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:

\log_3\left(\dfrac uv\right) = \log_3\left(u \times \dfrac1v\right) = \log_3(u) + \log_3\left(\dfrac1v\right) = \log_3(u) - \log_3(v)

To summarize,

\log_b(mn) = \log_b(m)+\log_b(n)

\log_b\left(\dfrac mn\right) = \log_b(m) - \log_b(n)

\log_b\left(m^n\right) = n \log_b(m)

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The last option is the answer

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8 0
2 years ago
Compare the value of √(100/25) to the value of √100/√25.
olga2289 [7]

Answer:

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7 0
3 years ago
Which of the following expressions are equivalent to -5/-7×-11/-6 ​
USPshnik [31]

Answer:

B.

Step-by-step explanation:

-5/-7×-11/-6

= (-5 * -11)  / (-7*-6)

= 55 / 42.

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7 0
3 years ago
The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Solve for x. Round to
Black_prince [1.1K]
 Length = x + 2  (because it is 2 cm more than x)
Width = 2x - 5   (5 cm lest than 2x)Area = 54 cm2  this is the formula to find the area Length × Width = Area (x + 2)(2x - 5) = 542x2 - x - 10 = 54   (this is you area)

  Subtract 54 on both sides of equation to make the right side zero. 2x2 - x - 64 = 0  then use the quadratic formula x = (-b ± √(b2 - 4ac)) / 2a where:a = 2b = -1c = -64 Plug in these values into the formula. x = (1 ± √(1 - 4(-128))) / 4 x = (1 ± √(513)) / 4 x = (1 ± 22.65) / 4 x = (1 + 22.65) / 4          and          x = (1 - 22.65) / 4 x = 5.91                          and          x = -5.41  Check the validity of the x values by adding them to the length and width.  If the length or width should be a negative value, then that value of x is not acceptable. Now x = 5.91 Length = 5.91 + 2  (positive value.)Width = 2(5.91) - 5  ( positive value.) x = 5.91    If we look at this -- x = -5.41, Both length and width will be negative values. We reject this value of x.  The answer is x = 5.91

Hope I helped and sorry it was really long
6 0
2 years ago
Read 2 more answers
A Baker decorates 42 cupcakes in 30 minutes she decorates cupcakes at a constant rate how many cupcakes can the baker decorate p
Morgarella [4.7K]
The baker can decorate 
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which would mean 42 cupcakes in 30 minutes,
and then you would get
1.4 cupcakes per minute. 

Hope this helps and have a nice day:)
8 0
3 years ago
Read 2 more answers
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