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If 53x–1 ÷ 25 = 125, find the value of x. |
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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, am/an = am-n ⇒ 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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