Simplify: log6 + log2 - log12

Simplify: log6 + log2 - log12

Answer Details

We can use the logarithmic rule that states log_a(b) + log_a(c) = log_a(bc) to simplify the expression. Applying this rule, we have: log₆(6) + log₆(2) - log₆(12) = 1 + log₆(2) - log₆(2\*2\*3) = 1 + log₆(2) - (log₆(2) + log₆(2\*3)) = 1 + log₆(2) - (log₆(2) + log₆(6)) = 1 + log₆(2) - (log₆(2) + 1) = log₆(2) - log₆(2) - 1 + 1 = 0 Therefore, the simplified expression is 0. The correct option is (C) 0.