If \sqrt ^ 3 { 3 ^ { n } } = 27 , then the value of n is:

RRB RPF RPSF SI and CONS Model Papers 3 with solutions

Question : 24 of 120

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√ ^ 3 { 3 ^ { n } } = 27

, then the value of n is:

Solution:

(a)

[ 3 ^ { { n } } ] ^ { { 1 } /{ 3 } } = 27

⇒3 ^ { { { n } } /{ 3 } } = 3 ^ { 3 }

Comparing,

{ { n } }/ { 3 } = 3

{ x } = 9

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