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GalinKa [24]
3 years ago
9

Write the logarithmic expression as single logarithmic with coefficient 1, and simplify as much as possible. Assume that all var

iable expressions represent positive real numbers.
\frac{1}{3}  log_{5}(p)  +  log_{5}(p^{2} - 25 )  - log_{5}(p - 5)
Thanks in advance. ​
Mathematics
2 answers:
Sveta_85 [38]3 years ago
4 0

Answer: The answer is log₅(p)¹/³(p+5).

Step-by-step explanation:

Nat2105 [25]3 years ago
3 0

Answer:

  • log₅(p)¹/³(p+5)

Step-by-step explanation:

  • 1/3log₅(p) + log₅(p²-25) - log₅(p-5) =
  • 1/3log₅(p) + log₅(p+5)(p-5) - log₅(p-5) =
  • 1/3log₅(p) + log₅(p+5) + log₅(p-5)  - log₅(p-5) =
  • 1/3log₅p + log₅(p+5) =
  • log₅(p)¹/³(p+5)
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Rodney has a board 5/6 yd long. He used 1/5 of the board to make a frame. How long is the board used to make the frame.
Katarina [22]
He uses 1/5 OF 5/6 of a yard. That "of" is very important, because it indicates that, to find the answer, you multiply the two together. 

That being said (1/5) times (5/6) =5/30, which can be reduced to 1/6 yds to make the frame
3 0
3 years ago
How many Children attended the classroom if there were 11 girls who made up 44% of the children?
WITCHER [35]

Answer:

25

Step-by-step explanation:

If 11 equals 44%, then x equals 100%.

x = \frac{100}{44} * 11

11 * 100 = 1100

1100/44 = 25

So, your answer is 25.

3 0
3 years ago
Read 2 more answers
The perimeter of a rectangle is 84 cm. If the length is 25 cm, how wide is the rectangle?
MrMuchimi

Answer: 17 cm

Step-by-step explanation:

84 - 25(2) = 2x

84 - 50 = 2x

34 = 2x

x = 17

17 cm

4 0
3 years ago
Help me please help me thank you
kow [346]

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

8 0
3 years ago
Read 2 more answers
-5 5/6 + (-8 4/5)= what show the work
djverab [1.8K]

Answer:

-13 2/3

Step-by-step explanation:

-5 5/6               5x6= 30 4x5= 20

+                                20/30= 2/3

-8 4/5

-----------      -5 + -8 = -13

-13  2/3

hope this helps

6 0
3 years ago
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