3 log 2 log4 16+log1/2 2

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First, simplify each logarithmic expression:
3 log 2 = log 2^3 = log 8
log4 16 = log 16 / log 4 = log 16 / 2 = log 8
log1/2 2 = log 2^-1 = -log 2

Now, substitute these simplified expressions back into the original equation:
log 8 + log 8 - log 2
= log 8 * 8 / 2
= log 64 / 2
= log 32