Write the following as the sum and/or difference of logarithms. Assume all variables are positive.
\[
\log \left(\frac{8 y}{7}\right)=
\]

The answer format in lowercase characters is: $\log$ (number)

Answer

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Answer

Final Answer: $\boxed{\log(8) + \log(y) - \log(7)}$

Steps

Step 1 ：Assume y to be a positive number

Step 2 ：Calculate the logarithms: $\log(8) = 2.0794415416798357$, $\log(y) = 0.0$, $\log(7) = 1.9459101490553132$

Step 3 ：Calculate the final expression: $2.0794415416798357 + 0.0 - 1.9459101490553132 = 0.13353139262452252$

Step 4 ：The numerical value of the expression when y is assumed to be 1 is approximately 0.1335

Step 5 ：The final answer is the expression we derived earlier: $\log(8) + \log(y) - \log(7)$

Step 6 ：Final Answer: $\boxed{\log(8) + \log(y) - \log(7)}$