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ladessa [460]
3 years ago
8

Which is the solution for log(3x - 1) + log 2 = log 4 + log (x + 2) ?​

Mathematics
2 answers:
Lemur [1.5K]3 years ago
6 0

Answer:x=1

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

10x=10

Divide both sides by 10

10x/10=10/10

x=1

11Alexandr11 [23.1K]3 years ago
3 0

Answer:

x=5

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

2x=10

Divide both sides by 2

2x/2=10/2

x=5

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Can someone graph this?<br> I'll give brainliest.
vodomira [7]

<em>It's nice of you to offer, but no thanks.</em>

To correctly graph this, you need to set up a simple equation and table of values. Luckily, this equation is dead-simple; I'll define <em>y</em> as the total cost and <em>x</em> as the number of water bottles sold.

y=1.5x

Since 1.50$ is the cost for one bottle, multiplying that with your variable that defined the amount of bottles, <em>x</em>, gets you the total, <em>y</em>. Now that we have a basic equation, we can begin plugging in values.

Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the <em>amount of bottles</em> and returns the  <em>total cost. </em>Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x      y

--------

0     0

1      1.5

2     3

3     4.5

4     6    

5     7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.


7 0
3 years ago
Which is greater 0.205 or 205/1000
Burka [1]
Neither... 

205/1000 equals .205

So they are both the same.

Hope this helps -J
8 0
2 years ago
Which expression is equivalent to ( 4mn / m^-2n^6)^-2a. n^6 / 16m^8b. n^10 / 16m^6c. n^10 / 8m^8d. 4m^3 / n^8?
Eva8 [605]

\huge{(} \small{\frac{4mn}{ {m}^{ - 2} {n}^{6}  }}  \huge{) } \small{{}^{  {}^{ {}^{ {}^{ - 2} } } } }\\  \\  \\ \huge{(} \small{   \frac{4 \times m {}^{1}  \times n {}^{1} }{ {m}^{ - 2} \times  {n}^{6}  }}  \huge{)} \small{^{  {}^{ {}^{ {}^{ - 2} } } }} \\  \\  \\  \huge{(} \small{4 \times  {m}^{1 - ( - 2)}  \times  {n}^{1 - 6}} \huge{)} \small{ {}^{  {}^{ {}^{ {}^{ - 2} } } } } \\  \\  \\   \huge{(} \small{ 4 \times  {m}^{1 + 2}  \times  {n}^{ - 5} } \huge{)} \small{ { }^{ {}^{  {}^{  {}^{ - 2} } }  } } \\  \\  \\ \small{  {(4)}^{ - 2} \times  ({m}^{3} ) ^{ - 2} \times  {(n{}^{ - 5} )}^{ - 2}    } \\  \\  \\  \frac{1}{ {4}^{2} }  \times  {m}^{ - 6}  \times  {n}^{ 10}  \\  \\  \\  \frac{1}{16}  \times  \frac{1}{ {m}^{6} }  \times  {n}^{10}  \\  \\  \\  \frac{ {n}^{10} }{16{m}^{6} }







\text{ Hence, option B is correct }
7 0
3 years ago
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joja [24]

Answer:

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Step-by-step explanation:

54 miles to work

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5 0
2 years ago
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almond37 [142]

Answer:

I think it is C 8,-4

Step-by-step explanation:

I think

8 0
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