Problem

Question
Write log(7z) in expanded form.

Answer

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Answer

Final Answer: log(z)+12log(7)

Steps

Step 1 :Write log(7z) in expanded form.

Step 2 :The logarithm of a product can be written as the sum of the logarithms of the individual factors. Therefore, we can write log(7z) as log(7)+log(z).

Step 3 :The logarithm of a root can be written as a fraction. Therefore, we can further simplify log(7) as 12log(7).

Step 4 :So, the expanded form of log(7z) is log(z)+12log(7).

Step 5 :Final Answer: log(z)+12log(7)

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