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Bas_tet [7]
2 years ago
5

Without exponents logc (xy^6z^-4) what is the equivalent expression

Mathematics
1 answer:
Sever21 [200]2 years ago
5 0

By eliminating exponents, the <em>logarithmic</em> expression \log_{c} x\cdot y^{6}\cdot z^{-4} is equivalent to the <em>logarithmic</em> expression \log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z.

<h3>How to simplify logarithmic functions</h3>

In this problem we are supposed to eliminate all exponents of a <em>logarithmic</em> function by applying any of the following properties:

  1. ㏒ x · y = ㏒ x + ㏒ y
  2. ㏒ x/y = ㏒ x - ㏒ y
  3. ㏒ yˣ = x · ㏒ y

Now, we proceed to simplify the function:

\log_{c} x\cdot y^{6}\cdot z^{-4}

\log_{c} x + \log_{c} y^{6} + \log_{c} z^{-4}

\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z

By eliminating exponents, the <em>logarithmic</em> expression \log_{c} x\cdot y^{6}\cdot z^{-4} is equivalent to the <em>logarithmic</em> expression \log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z.

To learn more on logarithms: brainly.com/question/24211708

#SPJ1

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If it takes a planet 5 years to orbit the Sun, how long (in years) will it take the planet to go all the
Mazyrski [523]

Answer:

230 million years

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Help please!!!
marysya [2.9K]

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = x² + 2x + 7 → (1)

y - 7 = x → (2)

Rearrange (2) expressing y in terms of x by adding 7 to both sides

y = x + 7 → (3)

Substitute y = x + 7 into (1)

x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )

0 = x² + x ← factor out x from each term

0 = x(x + 1)

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (3) for corresponding values of y

x = 0 → y = 0 + 7 = 7

x = - 1 → y = - 1 + 7 = 6

The solutions are

(- 1, 6 ) and (0, 7 )

4 0
3 years ago
Determine if true:<br> 3x8-63=-39
lesya [120]

Answer:

True

Step-by-step explanation:

3x8=24

24-63=-39

39=39

Hence, the equation is true.

7 0
3 years ago
Read 2 more answers
The post office is now calculating the volume of packages to determine the shipping cost. If a box measure 8 1/2 inches long, 5
sladkih [1.3K]
Answer:
volume of box = 312.375 in²

Explanation:
The volume of a rectangular box can be measured as follows:
volume = length* width * height

From the givens we have:
length = 8.5 in
width = 5.25 in
height = 7 in

Substitute with the givens in the above equation to get the volume as follows:
volume = length * width * height
volume = 8.5 * 5.25 * 7
volume = 312.375 in²

Hope this helps :)
3 0
3 years ago
Which method is valid for proving that two circles are similar?
Grace [21]
First:

a. ratio of the diameter to the radius
       the ratio of the diameter to the radius for any circle is always going to be 2:1          because the diameter is 2 times the legnth of the radius any time so A is not                the right answer

b.  the degrees of the circle is always 360, the circumference is the distance around the circle, so that would be a good indicator since 360 is constant, but the circumference can change, and if they are the same, then the circles are similar. so B is the right answer

c.  Ratio of area to circumference. area=pir^2, and circumference=2pir
this is a good indicator becuase the ratio of the area and the circumference is different for every circle so c is the right answer

D.  the ratio of the diameter to the circumference  diameter=2r circumference=2pir
circumference=pi time diameter so the ratio of the diameter is 1:pi
this is not a good indicator so this is not the right answer


The answers are B and D, but if the teacher asks for only one, then I would pick c
3 0
3 years ago
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