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anonymous
 one year ago
3. Write down the values of the following without using a calculator. Use your calculator to check your answers for those questions which use base 10.
(vii) log_3(square root 27)
I don't know what to do with this one, please help!
anonymous
 one year ago
3. Write down the values of the following without using a calculator. Use your calculator to check your answers for those questions which use base 10. (vii) log_3(square root 27) I don't know what to do with this one, please help!

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\log_{3} \sqrt{27}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\log_{3} \sqrt{27}=\log_{3}\sqrt{3^3}=\log_3(3^3)^{\frac{ 1 }{ 2 }}=\log_3 3^\frac{ 3 }{ 2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you explain why you did that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because log and exponentials of the same base are inverses. the \(log_3\) cancels the base of 3 in the exponential. \(log_3 3=1\) \(log_3 3^a=a\) So for your problem \(log_3 3^{\frac{3}{2}}=\frac{3}{2}\)
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