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I have found the natural log of 200,000 (12.20607264553). How do I work backwards from the natural log to get 200,000?

 Aug 29, 2015

Best Answer 

 #4
avatar+118608 
+5

You are on a calculator site !!

 

I have found the natural log of 200,000 (12.20607264553). How do I work backwards from the natural log to get 200,000?

 

$${ln}{\left({\mathtt{200\,000}}\right)} = {\mathtt{12.206\: \!072\: \!645\: \!530\: \!173\: \!7}}$$

 

$${{\mathtt{e}}}^{{ln}{\left({\mathtt{200\,000}}\right)}} = {\mathtt{199\,999.999\: \!999\: \!999\: \!9}}$$

 

 which IS    200,000

 Aug 30, 2015
 #1
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I have found the natural log of 200,000 (12.20607264553). How do I work backwards from the natural log to get 200,000?

Well, you obviously did it on a calculator, right? That calculator should have a key denoted by

e^x. All you do is enter your answer that you got(12.206....) and press that key! That should give you 200,000. Try it.

 Aug 29, 2015
 #2
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+5

Sorry, I should have said in my post that I don't have a scientific calculator with me - that is exactly my problem.

Do you know of a good online calculator that carries the e^x function.  I have been looking, but no luck.

Thank you for your help. 

 Aug 29, 2015
 #3
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+5

Hello again,

Thank you so much for your help.  I googled the key function e^x you gave me and calculator and found a great accurate, online calculator.

I was able to get the answer I needed from your instructions.

 Aug 29, 2015
 #4
avatar+118608 
+5
Best Answer

You are on a calculator site !!

 

I have found the natural log of 200,000 (12.20607264553). How do I work backwards from the natural log to get 200,000?

 

$${ln}{\left({\mathtt{200\,000}}\right)} = {\mathtt{12.206\: \!072\: \!645\: \!530\: \!173\: \!7}}$$

 

$${{\mathtt{e}}}^{{ln}{\left({\mathtt{200\,000}}\right)}} = {\mathtt{199\,999.999\: \!999\: \!999\: \!9}}$$

 

 which IS    200,000

Melody Aug 30, 2015

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