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# If 2^x- 2^(x-2) = 3*2^13, what is x? 9 11 13 15 17

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Joined: 04 Jun 2007
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If 2^x- 2^(x-2) = 3*2^13, what is x? 9 11 13 15 17 [#permalink]  04 Oct 2007, 19:28
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If 2^x- 2^(x-2) = 3*2^13, what is x?

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Manager
Joined: 16 May 2007
Posts: 145
Followers: 1

Kudos [?]: 11 [0], given: 0

[#permalink]  04 Oct 2007, 19:37
x = 15

Here is how:

2^x - 2^x-2 = 3* 2^13
2^x -2^x/4 = 3* 2^13
2^x(3/4) = 3* 2^13
2^x = 2^15
x = 15
Intern
Joined: 03 Oct 2007
Posts: 16
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Kudos [?]: 0 [0], given: 0

[#permalink]  04 Oct 2007, 20:23
D.... 15

2^x - 2^x-2 = 3* 2^13
2^x-2(4-1) = 3* 2^13
3*2^x-2 = 3*2^13
x -2= 13
x=15
[#permalink] 04 Oct 2007, 20:23
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# If 2^x- 2^(x-2) = 3*2^13, what is x? 9 11 13 15 17

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