How do you evaluate $log \sqrt{0.0001}$ $log sqrt 0.0001$ ?

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How do you evaluate $log \sqrt{0.0001}$ $log sqrt 0.0001$ ?

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Answer 1 · 2015-10-22T00:03:15

I found $- 2$ $-2$ but I considered base $10$ $10$ for your log.

Explanation:

I assume a log in base $10$ $10$ so you have:
${log}_{10} (\sqrt{0.0001}) = {log}_{10} {(\frac{1}{10000})}^{\frac{1}{2}} = \frac{1}{2} [{log}_{10} (1) - {log}_{10} (10000)] = \frac{1}{2} [0 - 4] = - 2$ $log_(10)(sqrt(0.0001))=log_(10)(1/10000)^(1/2)=1/2[log_(10)(1)-log_(10)(10000)]=1/2[0-4]=-2$

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How do you evaluate $log \sqrt{0.0001}$ $log sqrt 0.0001$ ?

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