Question

The value of \(\log_6 2 + \log_6 3\) is:

• A. 0
• B. 1
• C. 2
• D. 3

Hint:

Remember that \(\log_b b = 1\) and use the product rule \(\log_b x + \log_b y = \log_b (x \times y)\) to simplify logarithmic expressions.

Answer 1

The Correct Option is B

Using the logarithmic property \(\log_b x + \log_b y = \log_b (x \times y)\), we get: \[ \log_6 2 + \log_6 3 = \log_6 (2 \times 3) = \log_6 6 \] Since \(\log_b b = 1\), we have: \[ \log_6 6 = 1 \] Thus, the correct answer is 1.