To express [tex]\(\log_p(2W)\)[/tex] as a sum of logarithms, we can use the logarithm property for the product of numbers. This property states:
[tex]\[
\log_b(xy) = \log_b(x) + \log_b(y)
\][/tex]
Here, we need to find [tex]\(\log_p(2W)\)[/tex]. We let [tex]\(x = 2\)[/tex] and [tex]\(y = W\)[/tex]. Applying the product rule for logarithms, we get:
[tex]\[
\log_p(2W) = \log_p(2) + \log_p(W)
\][/tex]
Thus, the expression for [tex]\(\log_p(2W)\)[/tex] as a sum of logarithms is:
[tex]\[
\log_p(2W) = \log_p(2) + \log_p(W)
\][/tex]
