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write your answer as a sum or difference of base-3 logarithms or multip…

Question

write your answer as a sum or difference of base-3 logarithms or multiples of base-3 logarithms. the inside of each logarithm must be a distinct constant or variable.\\(\log_3 5e\\)

Explanation:

Step1: Apply logarithm product rule

The logarithm of a product is the sum of the logarithms: $\log_b(xy) = \log_b x + \log_b y$. Here, $b = 3$, $x = 5$, and $y = e$.
$\log_3(5e) = \log_3 5 + \log_3 e$

Answer:

$\log_3 5 + \log_3 e$