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antilog of 0.3142 rounded to four decimal places

 Apr 24, 2014

Best Answer 

 #1
avatar+33666 
+5

With log to the base 10 this is saying log10x = 0.3142, what is x?

From definition of logarithm this means x = 100.3142 so:

$${\mathtt{x}} = {{\mathtt{10}}}^{{\mathtt{0.314\: \!2}}} = {\mathtt{x}} = {\mathtt{2.061\: \!579\: \!086\: \!952\: \!637\: \!4}}$$

This is 2.0616 to four decimal places.

 Apr 25, 2014
 #1
avatar+33666 
+5
Best Answer

With log to the base 10 this is saying log10x = 0.3142, what is x?

From definition of logarithm this means x = 100.3142 so:

$${\mathtt{x}} = {{\mathtt{10}}}^{{\mathtt{0.314\: \!2}}} = {\mathtt{x}} = {\mathtt{2.061\: \!579\: \!086\: \!952\: \!637\: \!4}}$$

This is 2.0616 to four decimal places.

Alan Apr 25, 2014

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