SOLUTION: If (2^x) + (2^x) + (2^x) + (2^x) = (2^k), express x in terms of k

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Question 731651: If (2^x) + (2^x) + (2^x) + (2^x) = (2^k), express x in terms of k
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex+%2B+2%5Ex+%2B+2%5Ex+%2B+2%5Ex+=+2%5Ek
%282%5Ex+%2B+2%5Ex+%29%2B+%282%5Ex+%2B+2%5Ex+%29=+2%5Ek
2%5E%28x%2B1%29+%2B+2%5E%28x%2B1%29+=+2%5Ek
2%5E%28x%2B1%2B1%29+=+2%5Ek
2%5E%28x%2B2%29+=+2%5Ek....if base same, exponents are same too
x%2B2+=+k
x=+k-2......x in terms of k