N^(5) = 1254 How am i supposed to solve this?

Question

`n^(5) = 1254`
How am i supposed to solve this?

Answer 1

Explanation:

`n^(5)= 1254\\n^(5) = 2.3.11.19`

Therefore it is not possible that n is a perfect power of 5

it is approximately 4.16

Answer 2

n ≈ 4.165

Explanation:

To solve this, you need to take the 5th root of both sides:

`n^5=1,254`

`\sf{\sqrt[5]{n^5} =\sqrt[5]{1254}}`

On the lhs we're only left with n as n^5 and the 5th root cancel each other out.

On the right-hand side we need to calculate:

`n\approx4.165`