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# 2^x - 2^x-2 = 3(2^13), what is the value of x? I got the

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2^x - 2^x-2 = 3(2^13), what is the value of x? I got the [#permalink]  30 Mar 2008, 13:12
2^x - 2^x-2 = 3(2^13), what is the value of x?

I got the answer by picking an answer then plugging and chugging. Took me a little over 2 mintues (and I was lucky I picked the right number to work with). Just looking for the quick solution.

Thanks!

Last edited by tlp47 on 31 Mar 2008, 01:21, edited 1 time in total.
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Re: How do you solve this question quickly? [#permalink]  30 Mar 2008, 13:30
2
KUDOS
2^x = 2^2 * 2^(x-2)
So expression in question should read
2^2 * 2^(x-2) - 2^(x-2) = 3(2^13)
2^(x-2)*3 = 3*2^13
=> x-2 = 13
=> x = 15
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Re: How do you solve this question quickly? [#permalink]  31 Mar 2008, 01:20
Many thanks for your help with this problem. I need more practice in identifying the easy solution.
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Re: How do you solve this question quickly? [#permalink]  31 Mar 2008, 12:55
the eq can be written as 2^(x-2)[2^2-1] = 3.2^13
x-2 =13
x=15
Re: How do you solve this question quickly?   [#permalink] 31 Mar 2008, 12:55
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# 2^x - 2^x-2 = 3(2^13), what is the value of x? I got the

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