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Feliz [49]
3 years ago
10

39. Rewrite each expression as an equivalent expression containing only one logarithm.

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

ln{\frac{(p+q)^3}{q^2p^7} }

Step-by-step explanation:

3 ln(p + q) − 2 ln(q) − 7 ln(p)

=ln(p+q)^3- ln(q)^2-ln(p)^7

= ln(p+q)^3-{ln(q)^2+ln(p)^7}

=ln(p+q)^3-ln(q)^2*(p)^7

=ln{ (p+q)^3÷(q)^2*(p)^7}

=ln{\frac{(p+q)^3}{q^2p^7} }

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There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the
ahrayia [7]

Answer:

StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction

Step-by-step explanation:

Number of trees = 25

Percentage of aok trees = 20%

To obtain the Number of oak trees :

(Number of trees ÷ 1) ÷ (percentage ÷1)

(25 / 1) ÷ (20 / 1) = (25 /1) * (20 / 1) = 25 / 20

StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction

8 0
3 years ago
(2)/(3) =( 4)/( 3+x) help give brainliest if correct and explanation please
Juli2301 [7.4K]

Answer:

(2)/(3) =( 4)/( 3+x)

Cross multiply

2*(3+x)= 4*3

Solve bracket

6+2x=12

Subtract 6 from both sides

2x=6

Divide both sides by 2

x=3

Hope it helps :-)

7 0
3 years ago
Read 2 more answers
If AC = x + 5 and AB = 3x - 1... what is the length of BC?
Hatshy [7]
If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10     |subtract 2 from both sides
3x = 5x - 12      |subtract 5x from both sides
-2x = -12      |divide both sides by (-2)
x = 6

Read more on Brainly.com - brainly.com/question/11324096#readmore
4 0
3 years ago
How do you factor 125-x^3?
xz_007 [3.2K]

Step-by-step explanation:

We have

125 - x {}^{3}

First, 125 is a perfect cube because

5 \times 5 \times 5 = 125

and

x^3 is a perfect cube because

x \times  x \times x = x {}^{3}

so we can use the difference of cubes identity

( {x}^{3}  -  {y}^{3} ) = (x - y)( {x}^{2}  + xy +  {y}^{2} )

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

64 - 27

we know that

64 - 27 = 37

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

(4 - 3)( {4}^{2}  + 4(3) + 3 {}^{2} )

1(16 + 12 + 9) = 1(37) = 37

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

(5 - x)( {5}^{2}  + 5x +  {x}^{2} ) =

(5 - x)(25 + 5x +  {x}^{2} )

3 0
2 years ago
Read 2 more answers
Use the function below to find F(2)<br> F(x)=1/3•4^x<br> A.)2<br> B.)4<br> C.)8/3<br> D.)16/3
inna [77]

Answer:

D

Step-by-step explanation:

The function F(x) = \frac{1}{3}*4^x has value F(2) when x = 2 is substituted.

F(x) = \frac{1}{3}*4^x\\F(2) = \frac{1}{3}*4^2\\F(2) = \frac{1}{3}*16\\F(2) = \frac{16}{3}

7 0
3 years ago
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