Simplify/Condense

Problem

(log_2)(6)+(log_2)(m)−(log_2)(n)

Solution

1. Apply the Product Rule for logarithms, which states that (log_b)(x)+(log_b)(y)=(log_b)(x*y)

(log_2)(6)+(log_2)(m)=(log_2)(6*m)

2. Apply the Quotient Rule for logarithms, which states that (log_b)(x)−(log_b)(y)=(log_b)(x/y)

(log_2)(6*m)−(log_2)(n)=(log_2)((6*m)/n)

Final Answer

(log_2)(6)+(log_2)(m)−(log_2)(n)=(log_2)((6*m)/n)

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