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  • 10-01-2017
  • Mathematics
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What number 4th power is 1296

Respuesta :

altavistard
altavistard altavistard
  • 04-08-2020

Answer:

n = 6

Step-by-step explanation:

Represent the number by n.  Then n^4 = 1296.

Taking the log of both sides, we get:  4 log n = log 1296, so that:

     

             log 1296        3.1126

log n = ---------------- = ------------- = 0.7782

                   4                    4

Since the base here is 10,

    log n           0.7782

10            =  10

and so

  n = 6

This tells us that 4^6 = 1296

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