Answer :

Given that, 53x–1 ÷ 25 = 125


25 = 5 × 5 = 52 and 25 = 5 × 5 × 5 = 53


53x–1 ÷ 52 = 53


Using the law of exponent,


53x-1-2 = 53


53x-3 = 53


Comparing both sides,


3x-3 = 3


3x = 6


x = 2


the value of x is 2


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