SOLUTION: Please help me solve this problem algebraically. {{{ 2*2^(x-2)=64 }}}

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Question 878099: Please help me solve this problem algebraically.
+2%2A2%5E%28x-2%29=64+
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
divide both sides by 2
2^(x-2)=32
what power of 2 is equal to 32?
2^5=32
x-2=5
x=7