Question

For any integer x for which x⁵= 164916224. Find x?

Answer 1

x⁵= 164916224

$x = \sqrt[5]{164916224}$

x=44.00000000001

or

x=44

Answer 2

Answer:

In decimal notation, the integers x and x ^5 have the same last digit.

∴ Last digit of x = 4.

1024 × 10^5 < 1649.16224 × 10^5 < 3125 × 10^5

40^5 < 1649.16224 × 10^5 < 50^5

So, 40 < x < 50

⇒ x = 44

Last digit of 4

∴ x = 44

Step-by-step explanation:

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