Posted by helen on Thursday, November 3, 2011 at 2:46pm.
since 32 = 2^5,
sqrt(32) = 32^(1/2) = (2^5)^(1/2) = 2^(5/2)
16^(x-1) = 2 * 2^(5/2) = 2^(1 + 5/2) = 2^(7/2)
16 = 2^4
2^(4x-4) = 2^(7/2)
so,
4x-4 = 7/2
8x-8 = 7
8x = 15
x = 15/8
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