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5^x=400

ANSER PLZ

 May 6, 2015

Best Answer 

 #1
avatar+223 
+8

 

ln(x)=y <------> e^y=x

ln(x^y)=yln(x)

 

5^x=400

ln(5^x)=ln(400)

x*ln(5)=ln(400)

x=ln(400)/ln(5)    $${\frac{{ln}{\left({\mathtt{400}}\right)}}{{ln}{\left({\mathtt{5}}\right)}}} = {\mathtt{3.722\: \!706\: \!232\: \!293\: \!572\: \!2}}$$

 May 6, 2015
 #1
avatar+223 
+8
Best Answer

 

ln(x)=y <------> e^y=x

ln(x^y)=yln(x)

 

5^x=400

ln(5^x)=ln(400)

x*ln(5)=ln(400)

x=ln(400)/ln(5)    $${\frac{{ln}{\left({\mathtt{400}}\right)}}{{ln}{\left({\mathtt{5}}\right)}}} = {\mathtt{3.722\: \!706\: \!232\: \!293\: \!572\: \!2}}$$

Headingnorth May 6, 2015
 #2
avatar+1694 
+5

5^3.7227062322935722026804262750 = 400.0000000000

 

@headingnorth:/  Thanks for the math lesson! I didn't know how to figure it out mathematically.

 May 6, 2015

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