Find the x.
5 to the power 3x-1 ÷ 5² = 5³
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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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