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Algebra LOGIC 2 Puzzle - Solution

The Puzzle:

Algebra LOGIC 2

Solve the following (each letter is a separate digit):

(L+O+G+I+C)3 = LOGIC

Our Solution:

(1+9+6+8+3)3 = 19683


"Robbie" has worked out another solution, but it uses 7 twice: (1+7+5+7+6)3 = 17576

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