Question

Find the integer x for which x^5 = 164916224

Answer 1

Answer:

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

∴ Last digit of x = 4.

1024 × 105 < 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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