Simplify: log6 + log2 - log12

Assessment: WAEC SSCE - General Mathematics - 1991 (Objective) Subject: General Mathematics

Question 1 Report

Simplify: log6 + log2 - log12

Answer Details
We can use the logarithmic rule that states loga(b) + loga(c) = loga(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.
Read lesson note on Logarithms (WAEC)
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