What is the value of X for which the expression (2x) n ends with 0 , where n is any natural number and x is a non zero digit

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Solution

Considering the Given condition ,

2xn ∈ {10,20,30.......}
=> xn ∈ {5,10,15.....}
Since n ∈ {1,2,3,4...}
Therefore x= 5 such that xn ∈ {5,10,15,20...}
Therfore value of x = 5

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What is the value of X for which the expression (2x) n ends with 0 , where n is any natural number and x is a non zero digit

Considering the Given condition , 2xn ∈ {10,20,30.......} => xn ∈ {5,10,15.....} Since n ∈ {1,2,3,4...} Therefore x= 5 such that xn ∈ {5,10,15,20...} Therfore value of x = 5

Considering the Given condition ,

2xn ∈ {10,20,30.......}
=> xn ∈ {5,10,15.....}
Since n ∈ {1,2,3,4...}
Therefore x= 5 such that xn ∈ {5,10,15,20...}
Therfore value of x = 5