GMATprep PS question

2^x - 2^(x-2) can be written as :

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

Hence,
3 (2^(x-2)) = 3(2^13)
or, (2^(x-2)) =(2^13)
or, x-2 = 13

hence, x =15

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mlane25269: Master | Next Rank: 500 Posts; Posts: 151; Joined: Fri Jun 13, 2008 7:31 am; Thanked: 1 times

by mlane25269 » Sat Jun 28, 2008 9:21 pm

ok I must not be following because I'm not sure how you got the "(1-1/4)" in 2^x(1-1/4) = 2^x (3/4) = 3* (2^x/2^2) = 3 (2^(x-2))

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