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kicyunya [14]
2 years ago
14

Rewrite the following in the form log(c) log(6)−log(3)

Mathematics
2 answers:
Fiesta28 [93]2 years ago
8 0

Answer:

log(2)

Step-by-step explanation:

As we have,

log(a)−log(b)=log(a/b)

Replace 'a' as 6 and 'b' as 3.

Then we get,

\hookrightarrow log(6)-log(3)\\\\\hookrightarrow log(\frac{6}{3} )\\\\\hookrightarrow log(2)

Genrish500 [490]2 years ago
6 0
<h3>Answer:   log(2)</h3>

Explanation:

The rule to use here is log(x)-log(y) = log(x/y)

So,

log(6)-log(3) = log(6/3) = log(2)

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Chris is working on math homework. He solves the equation m/6=48 and says that the solution is m=8. Do you agree or disagree wit
vredina [299]

Chris is incorrect. To check the answer, replace m with 8 and simplify the left side. So m/6 turns into 8/6 which converts to the decimal value 1.333 (use a calculator)

Therefore the original equation m/6 = 48 becomes 1.333 = 48 after you plug in m = 8 and simplify fully. The two sides of 1.333 = 48 are not the same, so m = 8 is not the solution.

--------------------

The solution is actually 288 and we can prove it so like this

m/6 = 48

288/6 = 48 .... replace m with 288

48 = 48 .... use a calculator to compute 288/6

So the solution m = 288 is confirmed

------------------

How did I get this answer? By multiplying both sides by 6

m/6 = 48

6*(m/6) = 6*48 ..... multiply both sides by 6

m = 288

So Chris mistakenly divided both sides by 6, which explains how he got 48/6 = 8 as the solution. Instead he should have multiplied both sides by 6. This is to undo the operation "divide by 6" that is being applied to m in the original equation.

7 0
4 years ago
Use technology to construct an appropriate model of the data. (0,1), (1,-2), (2,-3), (3,-2), (4,1) f(x) = – x2 + 4 f(x) = x2 - 4
Marina CMI [18]
The answer choices tell you this is a parabola.
The given points tell you it opens upward and the vertex is (2, -3).
Your knowledge of the vertex form of the equation is the only "technology" that you need. The vertex form is
  y = a(x - h)² + k . . . . . for vertex (h, k)
The fact that the y-value is 1 more than its vertex value when |x-2| = 1 tells you the scale factor "a" is 1.

You can write the model as
  D. f(x) = (x -2)² - 3

3 0
3 years ago
The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?
NeTakaya

volume of a cube = S^3

which would be S x S x S

so answer is D

8 0
3 years ago
Read 2 more answers
Jenna starts with $50 and she sells her homemade cookies for $2 each. Elijah starts with $32 and he sells his homemade cookies f
GuDViN [60]

Answer:

if Jenna sold none, Elijah would sell 6... C=6

Step-by-step explanation:

Add 6 to 32

6 0
3 years ago
2. Four less than six times a number is 32. Write and solve an equation.
zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

    <u>+4   + 4</u>

6x  =    36

Now we divide 6 into both sides of the equation to single out the x.

<u>6x = 36</u>

6      6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0
2 years ago
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