Question

expand the logarithm. assume all expressions exist and are well - defined. write your answer as a sum or difference of common logarithms or multiples of common logarithms. the inside of each logarithm must be a distinct constant or variable. \\(\log \frac{17}{wv}\\)

Explanation:

Step1: Apply the quotient rule of logarithms

The quotient rule of logarithms states that $\log \frac{a}{b} = \log a - \log b$. So, for $\log \frac{17}{wv}$, we can rewrite it as $\log 17 - \log (wv)$.

Step2: Apply the product rule of logarithms

The product rule of logarithms states that $\log (ab) = \log a + \log b$. So, $\log (wv) = \log w + \log v$. Substituting this back into the expression from Step 1, we get $\log 17 - (\log w + \log v)$.

Step3: Simplify the expression

Distribute the negative sign: $\log 17 - \log w - \log v$.

Answer:

$\log 17 - \log w - \log v$