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

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If 2^x - 2^x-2 = 3(2^13), what is the value of x [#permalink]  09 Feb 2007, 19:58
If 2^x - 2^x-2 = 3(2^13), what is the value of x?
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Re: Exponent problem [#permalink]  09 Feb 2007, 20:20
above720 wrote:
If 2^x - 2^x-2 = 3(2^13), what is the value of x?

(2^x) - (2^x)/(2^2) = 3(2^13)

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

(2^x) * (3/4) = 3*(2^13)

2^x = 4 * 2^13 = 2^15

x = 15
Re: Exponent problem   [#permalink] 09 Feb 2007, 20:20
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