Simplify/Condense log base b of 7+ log base b of 3

Problem

(log_b)(7)+(log_b)(3)

Solution

1. Identify the logarithmic property for addition, which is the product rule for logarithms.

2. Apply the formula (log_b)(M)+(log_b)(N)=(log_b)(M⋅N) to the given expression.

3. Substitute the values M=7 and N=3 into the product rule.

4. Simplify the argument by calculating the product of 7 and 3

Final Answer

(log_b)(7)+(log_b)(3)=(log_b)(21)

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