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what is the value of y in log y = 3.8

 May 18, 2014

Best Answer 

 #1
avatar+33665 
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If this is log to the base 10, then log y = 3.8 means that y = 10^3.8

$${\mathtt{y}} = {{\mathtt{10}}}^{{\mathtt{3.8}}} \Rightarrow {\mathtt{y}} = {\mathtt{6\,309.573\: \!444\: \!801\: \!932\: \!494\: \!3}}$$

If it is log to a different base, say, b, then y = b^3.8.

 May 18, 2014
 #1
avatar+33665 
+5
Best Answer

If this is log to the base 10, then log y = 3.8 means that y = 10^3.8

$${\mathtt{y}} = {{\mathtt{10}}}^{{\mathtt{3.8}}} \Rightarrow {\mathtt{y}} = {\mathtt{6\,309.573\: \!444\: \!801\: \!932\: \!494\: \!3}}$$

If it is log to a different base, say, b, then y = b^3.8.

Alan May 18, 2014

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