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How much more exponentially is 680^4 vs 340^4. My calculator says 10.XXXXXXXX does this mean that 640^4 is only 10 times more than 340^4?

 Jul 20, 2019
 #1
avatar+8756 
+5

6804   =   (2 * 340)4

 

6804   =   24 * 3404

 

6804   =   16 * 3404

 

In other words,  6804  is  16  times  3404

 Jul 20, 2019
 #2
avatar+8756 
+4

If you want to know how much you'd have to add to  3404  to get  6804, we can solve this equation for  x:

 

x + 3404  =  6804

 

x  =  6804 - 3404

 

x  =  200450400000

 

So

 

200450400000 + 3404  =  6804

 

In other words,  6804  is  200450400000  more than  3404

 

If you want to know what power must  3404  be raised to to equal  6804,  we can solve this equation for  x:

 

(3404)x   =   6804

 

340x  =  680

 

x  ≈  1.1189

 

So

 

(3404)1.1189  ≈  6804

 Jul 20, 2019

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