Natural Log Problem: convert e^(10^23) in the form 10^x,

charlieko

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Jan 31, 2008
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Is there anyway to convert e^(10^23) in the form 10^x, for some x?

It is one of problems in my physics textbook that I have to do for homework, so I know it is possible...
But I tried to do it by setting y=e^(10^23) and somehow solve for y as 10^x, but I have failed many times.
Can anyone have an idea?
 
Re: Natural Logarithm Problem

So you want to express e1023\displaystyle e^{10^{23}} in the form of 10x\displaystyle 10^{x}?

Well, you can set them equal to each other and solve for x:

10x=e1023\displaystyle 10^{x} = e^{10^{23}}

ln10x=lne1023\displaystyle ln10^{x} = lne^{10^{23}}

etc. etc.
 
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