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Expand the Logarithmic Expression.

By John Peck
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Here is the question

$\log \left (\sqrt{x^3\sqrt{y^5\sqrt{z}}} \,\right) $

My work:

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2 Answers

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HINT: Please observe that it is $$ \log (x^{3/2}y^{5/4}z^{1/8}), $$ hence the last term in your solution should be $$ \frac18\log z. $$

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Hint: $\log(a \times b) = \log(a) + \log(b)$ and $\log(a^b) = b\times\log(a)$.

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