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Express [tex]\log_{p} 2W[/tex] as a sum of logarithms.

[tex]\log_{p} 2W =[/tex]

Sagot :

GinnyAnsweridn
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]
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