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Question

If 52x+1=6×5x1, then find x

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Solution

Given 52x+1=6×5x1
52x×5=6×5x1
5(5x)26(5x)+1=0
put 5x=t
5t26t+1=0
5t25tt+1=0
5t(t1)(t1)=0
t=15,1=51,50
x=1,0

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