SOLUTION: evaluate the expression 2^(log2^3)

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Question 169553: evaluate the expression
2^(log2^3)

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
evaluate the expression
2^(log2^3)
------------
=2^(log8)
= 2^0.90309...
= apx 1.870067

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'm assuming that the expression is right??


Let


So can be rewritten as .


Start with the previous equation


Rewrite the equation using the property: ====>


Since , this means that or simply


So the answer is






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