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Write each expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places). log8 313 exact value

 Nov 18, 2014

Best Answer 

 #1
avatar+118723 
+5

$$log_8 (313)=\frac{log(313)}{log(8)}$$

 

$${\frac{{log}_{10}\left({\mathtt{313}}\right)}{{log}_{10}\left({\mathtt{8}}\right)}} = {\mathtt{2.763\: \!339\: \!615\: \!644\: \!206\: \!2}}$$

 

2.7633

 Nov 19, 2014
 #1
avatar+118723 
+5
Best Answer

$$log_8 (313)=\frac{log(313)}{log(8)}$$

 

$${\frac{{log}_{10}\left({\mathtt{313}}\right)}{{log}_{10}\left({\mathtt{8}}\right)}} = {\mathtt{2.763\: \!339\: \!615\: \!644\: \!206\: \!2}}$$

 

2.7633

Melody Nov 19, 2014

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