Question

If (125)^x = 3125, then the value of x is:
1. \(\dfrac{3}{2}\)
2. 2
3. \(\dfrac{3}{5}\)
4. \(\dfrac{5}{3}\)

Answer 1

Correct Answer - Option 4 : \(\dfrac{5}{3}\)

(125)x = 3125

3125 = 5 × 5 × 5 × 5 × 5 

125 = 5 × 5 × 5 

Now, (5³)^x = (5⁵)

⇒ 5^3x = 5⁵ 

⇒ 3x = 5 or x = 5/3