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Svet_ta [14]
3 years ago
9

Log_x(8x-3)-log_x(4)=2 what is x?, quickly please!!!

Mathematics
1 answer:
maksim [4K]3 years ago
4 0

Answer: x = 3/2 or x = 1/2 Hope this helps! :)

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Solve pls brainliest
oee [108]

Answer:

mixed no. 51/10

Improper fraction 5/1/10

3 0
3 years ago
Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5\,\text{cm}18.5cm18, point, 5, spac
MariettaO [177]

Answer:

14 cm.

Step-by-step explanation:

We have been given that an aquarium is a right rectangular prism 18.5 cm long and 15 cm wide. We are also told that Martene put 3885 cubic cm of water in the aquarium.

To find the depth or height of aquarium, we will use volume of rectangular prism formula.

\text{Volume of rectangular prism}=l*w*h, where,

l = Length of prism,

w = Width of prism,

h = Height of prism.

Upon substituting our given values in above formula we will get,

3885\text{ cm}^3=18.5\text{ cm}\times 15\text{ cm}\times h

3885\text{ cm}^3=277.5\text{ cm}^2\times h

\frac{3885\text{ cm}^3}{277.5\text{ cm}^2}=\frac{277.5\text{ cm}^2\times h}{277.5\text{ cm}^2}

14\text{ cm}=h

Therefore, the aquarium is 14 cm deep.

7 0
3 years ago
If A c B and A N B= • then which of the following can be concluded about the sets A and B!
Sergio [31]

Step-by-step explanation:

Set A is a subset of set B if all the elements of A are also the elements of Set B.. (common element)

The above set have 0 common elements so.. if there is no common element and are subsets then it means that there arent any elements in both the sets

so, the answer for the question would be "both the Sets A and B are the empty sets"

6 0
2 years ago
What are the solutions of 8x{2}=6+22x
Olenka [21]
8x^2=6+22x\ \ \ \ |-22x-6\\\\8x^2-22x-6=0\ \ \ |:2\\\\4x^2-11x-3=0\\\\4x^2-12x+x-3=0\\\\4x(x-3)+1(x-3)=0\\\\(x-3)(4x+1)=0\iff x-3=0\ \vee\ 4x+1=0\\\\x-3=0\ \ \ |+3\\x=3\\\\4x+1=0\ \ \ |-1\\4x=-1\ \ \ |:4\\x=-0.25

Answer: x = 3 or x = -0.25
3 0
3 years ago
Try this hard Math Problem if you dare!!
Dennis_Churaev [7]

Answer:

a. (x - 3)^2 + 16

b. 8(x -7)^2

c. (a^2 - 1)(7x - 6) or (a+1)(a-1)(7x-6)

d. (x^2-4)(x^2+3) or (x-2)(x+2)(x^2+3)

e. (a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})

Step-by-step explanation:

a.\ (x + 1)^2 - 8(x - 1) + 16

Expand

(x + 1)(x + 1) - 8(x - 1) + 16

Open brackets

x^2 + x + x + 1 - 8x + 8 + 16

x^2 + 2x + 1 - 8x + 24

Collect Like Terms

x^2 + 2x - 8x+ 1  + 24

x^2 - 6x+ 25

Express 25 as 9 + 16

x^2 - 6x+ 9 + 16

Factorize:

x^2 - 3x - 3x + 9 + 16

x(x -3)-3(x - 3) + 16

(x - 3)(x - 3) + 16

(x - 3)^2 + 16

b.\ 8(x - 3)^2 - 64(x-3) + 128

Expand

8(x - 3)(x - 3) - 64(x-3) + 128

8(x^2 - 6x+ 9) - 64(x-3) + 128

Open Brackets

8x^2 - 48x+ 72 - 64x+192 + 128

Collect Like Terms

8x^2 - 48x - 64x+192 + 128+ 72

8x^2 -112x+392

Factorize

8(x^2 -14x+49)

Expand the expression in bracket

8(x^2 -7x-7x+49)

Factorize:

8(x(x -7)-7(x-7))

8((x -7)(x-7))

8(x -7)^2

c.\ 7a^2x - 6a^2 - 7x + 6

Factorize

a^2(7x - 6) -1( 7x - 6)

(a^2 - 1)(7x - 6)

The answer can be in this form of further expanded as follows:

(a^2 - 1^2)(7x - 6)

Apply difference of two squares

(a+1)(a-1)(7x-6)

d.\ x^4 - x^2 - 12

Express x^4 as x^2

(x^2)^2 - x^2 - 12

Expand

(x^2)^2 +3x^2- 4x^2 - 12

x^2(x^2+3) -4(x^2+3)

(x^2-4)(x^2+3)

The answer can be in this form of further expanded as follows:

(x^2-2^2)(x^2+3)

Apply difference of two squares

(x-2)(x+2)(x^2+3)

e.\ a^{4n} -b^{4n}

Represent as squares

(a^{2n})^2 -(b^{2n})^2

Apply difference of two squares

(a^{2n} -b^{2n})(a^{2n} +b^{2n})

Represent as squares

((a^{n})^2 -(b^{n})^2)(a^{2n} +b^{2n})

Apply difference of two squares

(a^n+b^n)(a^n-b^n)(a^{2n} +b^{2n})

6 0
3 years ago
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