Question

If 4000 = 2ˣ 5ⁿ, Find the values of x and n. Where x and n are non negative integer

Answer 1

Answer:

241/4000=241*2m*5n

Prime factorize 4000

4000=2*2*5*5*5*2*2*2=2^5*5³

2^m=2^5

5n=5³

i.e m=5,n=3

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Answer 2

Answer:

4000= 2^x 5^n

2^5*5^3=2^x5^n

x= 5

n=3