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AysviL [449]
3 years ago
10

Fill in the steps to solve the log log base x of (2x)^3=6​

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

logx (2x)^3 = 6

We can rewrite without the exponent

3 logx (2x) = 6

Divide by 3

3/3 logx (2x) = 6/3

logx (2x) = 2

Raise each side to the base x

x^ logx (2x) =x^ 2

2x = x^2

Subtract 2x from each side

2x-2x = x^2 -2x

0 = x^2 -2x

Factor an x

0 = x(x-2)

Using the zero product property

x =0 x-2 =0

x =0  x=2

We cannot have a base of 0, so x cannot equal 0

x=2

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What is the probability that the card drawn is a diamond and a jack​
SpyIntel [72]

Answer:

1/26=4/104

Step-by-step explanation:

The probability of pulling a diamond if completely shuffled properly, is a 1/4. Because there are 4 suits. This is only if, there are no jokers.

And the probability of pulling a jack, is a 4/51. Because there are 4 jacks out of the 51 cards, but you already pulled out a diamond card, so you take 1 out.

Multiply them together, and you will get 4/104 = 1/26

There is a 1/26 chance of pulling out a diamond card, then a jack.

4 0
3 years ago
What is 1/3 x 12 help me quick
MArishka [77]

Answer:

12/3 = 4

Step-by-step explanation:

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3 years ago
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3 years ago
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Please help
Liono4ka [1.6K]

Answer:

P(red) = .3

P(yellow) = .3

75 cubes in the box

Step-by-step explanation:

The probability has to add to 1

Since the number of red cubes equals the number of yellow cubes the probability has to be the same

.4 + x+x = 1

.4 +2x = 1

2x = 1-.4

2x = .6

Divide by 2

x = .6/2

x = .3

P(red) = .3

P(yellow) = .3

We know that

P(blue) = .4 = number of blue cubes/ total number of cubes

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                  total = 30/.4

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Answer:

21

Step-by-step explanation:

(5x5) the big square - (2x2) the small square

25-4=21

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