SOLUTION: 2^(7 - 3x)=4^-1

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Question 47438: 2^(7 - 3x)=4^-1
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+2%5E%287+-+3x%29+=+4%5E-1+
+2%5E%287+-+3x%29+=+%282%5E2%29%5E-1+
+2%5E%287+-+3x%29+=+2%5E%28-2%29+

So we have an equation that says "2 to power (7-3x)" is EQUAL to "2 to power -2"

So, the 2 powers must be the same number.
So 7-3x = -2
7+2 = 3x
9 = 3x
or 3x = 9
--> x = 3

jon