Expand the Logarithmic Expression log of 32*64

Problem

(log_)(32⋅64)

Solution

1. Identify the logarithmic property for multiplication, which states that the log of a product is the sum of the logs: (log_)(M⋅N)=(log_)(M)+(log_)(N)

2. Apply the property to the given expression by splitting the product into two separate logarithmic terms.

3. Rewrite the expression as the sum of (log_)(32) and (log_)(64)

Final Answer

(log_)(32⋅64)=(log_)(32)+(log_)(64)

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