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