If (125)^x = 3125 , then the value of x is:

Madhya Pradesh Police Exam Model Paper 7

Question : 84 of 100

Marks: +1, -0

(125)^x = 3125

, then the value of x is:

Solution:

(125)^x = 3125

3125 = 5 × 5 × 5 × 5 × 5

125 = 5 × 5 × 5

Now,

(5^3)^x = (5^5)

⇒ 5^{3x} = 5^5

⇒ 3x = 5

x = 5{/}3

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