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oksano4ka [1.4K]
3 years ago
10

If 2^2x = 2^3, what is the value of x?

Mathematics
2 answers:
vova2212 [387]3 years ago
7 0
<span>2^(2x) = 2^3
so
2x = 3
  x = 3/2
  x = 1.5

answer
x = 1.5</span>
Lostsunrise [7]3 years ago
6 0
With 2^2x=2^3 x would equal 2. You simplify both sides of the equation and then isolate the variable
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Let the number be n.

Then:

n^2 + (1/n)^2 = 82/9; find n.  Find the LCD; it is 9n^2.

Mult all 3 terms by 9n^2:
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9n^4 + 9 = (82/9)(9n^2)  =>    9n^4 + 9 = ------------  
                                                                        9
Then 9n^4 - 82n^2 + 9 = 0

I used my graphing calculator to find that n = 3.  

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