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# If 2^x - 2^x-2(exponent x-2) = 3(2^13), what is value of x?

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Manager
Joined: 08 Feb 2006
Posts: 128
Followers: 1

Kudos [?]: 6 [0], given: 0

If 2^x - 2^x-2(exponent x-2) = 3(2^13), what is value of x? [#permalink]  24 Feb 2006, 19:02
If 2^x - 2^x-2(exponent x-2) = 3(2^13), what is value of x?

a) 9
b) 11
c) 13
d) 15
e) 17
Manager
Joined: 20 Feb 2006
Posts: 213
Followers: 1

Kudos [?]: 5 [0], given: 0

X = 5
2^x (1-1/4) = 3*(2^13)
=> (2^x)*3/4 = 3*(2^13)
=> 2^x = 2^15
=> x = 15
SVP
Joined: 14 Dec 2004
Posts: 1707
Followers: 1

Kudos [?]: 50 [0], given: 0

D) x= 15.

2^x-2 * (4-1) = 3 * (2^13)
= 2^x-2 = 2^13
=> x = 15
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