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Hello! I need to raise 25 to the level of 1312000 - it's a serious philosophical dilemma - but calculators keep giving me an utterly useless "infinity". What should I do?(spending years and years of my life on manual calculations is not an option, FYI)

 Jun 12, 2015

Best Answer 

 #2
avatar+128407 
+10

Let me add that

 

10^(1834097.297)  =

 

10^(1834097)  * 10^(.297)  =

 

10^(183407) * 1.9815270258050982 =

 

About   19815270258050982  followed by 183391 zeroes

 

 

 Jun 12, 2015
 #1
avatar+118608 
+10

Well I doubt that you reall need this but I can still answer :)

 

$$\\let\;y=25^{1312000}\\\\
logy=log25^{1312000}\\\\
logy=1312000*log25\\\\
logy\approx 1834097.291\\\\
y\approx 10^{1834097.291}\\\\
y\approx 10^{1834097}\\\\$$

 Jun 12, 2015
 #2
avatar+128407 
+10
Best Answer

Let me add that

 

10^(1834097.297)  =

 

10^(1834097)  * 10^(.297)  =

 

10^(183407) * 1.9815270258050982 =

 

About   19815270258050982  followed by 183391 zeroes

 

 

CPhill Jun 12, 2015
 #3
avatar+118608 
+5

Oh yea I forgot to do that bit, thanks Chris.    

 Jun 12, 2015

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