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What number 4th power is 1296

1 Answer

1 vote

Answer:

n = 6

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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