Use the properties of logarithms to rewrite the following expression. Simplify the result if possible. Assume all variables represent positive real numbers. \[ \log _{2}(7 x+6 y) \] Choose the correct answer. A. $\log _{2} 7 x-\log _{2} 6 y$ B. This cannot be simplified. C. $\log _{2} 42 x y$ D. $\log _{2} 7 x+\log _{2} 6 y$

Step 1 ：Use the properties of logarithms to rewrite the following expression. Simplify the result if possible. Assume all variables represent positive real numbers. \[\log _{2}(7 x+6 y)\]

Step 2 ：Choose the correct answer.

Step 3 ：A. \(\log _{2} 7 x-\log _{2} 6 y\)

Step 4 ：B. This cannot be simplified.

Step 5 ：C. \(\log _{2} 42 x y\)

Step 6 ：D. \(\log _{2} 7 x+\log _{2} 6 y\)

Step 7 ：Final Answer: \(\boxed{\text{The correct answer is B. This cannot be simplified.}}\)