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. $\log _{2} 7 x+\log _{2} 6 y$
Answer
Final Answer: \(\boxed{\text{The correct answer is B. This cannot be simplified.}}\)
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: \(\boxed{\text{The correct answer is B. This cannot be simplified.}}\)
