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3^x = 49 What is x

 Aug 26, 2014

Best Answer 

 #1
avatar+33661 
+5

Take logs of both sides

log(3x) = log(49)

x*log(3) = log(49)

x = log(49)/log(3)

$${\mathtt{x}} = {\frac{{log}_{10}\left({\mathtt{49}}\right)}{{log}_{10}\left({\mathtt{3}}\right)}} \Rightarrow {\mathtt{x}} = {\mathtt{3.542\: \!487\: \!498\: \!322\: \!844\: \!4}}$$

 Aug 26, 2014
 #1
avatar+33661 
+5
Best Answer

Take logs of both sides

log(3x) = log(49)

x*log(3) = log(49)

x = log(49)/log(3)

$${\mathtt{x}} = {\frac{{log}_{10}\left({\mathtt{49}}\right)}{{log}_{10}\left({\mathtt{3}}\right)}} \Rightarrow {\mathtt{x}} = {\mathtt{3.542\: \!487\: \!498\: \!322\: \!844\: \!4}}$$

Alan Aug 26, 2014

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