Q105 of 196 Page 249

If 53x–1 ÷ 25 = 125, find the value of x.

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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