Question
Write $\log (\sqrt{7} z)$ in expanded form.

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Final Answer: $\boxed{\log(z) + \frac{1}{2}\log(7)}$

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Step 1 ：Write $\log (\sqrt{7} z)$ 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 $\log (\sqrt{7} z)$ as $\log (\sqrt{7}) + \log (z)$.

Step 3 ：The logarithm of a root can be written as a fraction. Therefore, we can further simplify $\log (\sqrt{7})$ as $\frac{1}{2} \log (7)$.

Step 4 ：So, the expanded form of $\log (\sqrt{7} z)$ is $\log(z) + \frac{1}{2}\log(7)$.

Step 5 ：Final Answer: $\boxed{\log(z) + \frac{1}{2}\log(7)}$

QuestionWrite $\log (\sqrt{7} z)$ in expanded form.

Answer

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Question
Write $\log (\sqrt{7} z)$ in expanded form.