Question

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

Answer 1

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