If ^3{\sqrt5^{2n}} = 125 then what is the value of n ?

RRB Group D Model Paper 6 with solutions

Question : 30 of 99

Marks: +1, -0

^3{√5^{2n}}

= 125 then what is the value of n ?

Solution:

(2) The given expression is

^3{√5^{2n}}

= 125
⇒

5^{{2n}/3}=5^2

Comparing both sides, we get

2/3n

= 3
⇒ 2n = 9
⇒ n = 9/2 = 4.5

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