Determine the value of 'x' when \sqrt^3 3^x=27

SSC CHSL 6 Mar 2018 Shift 1 Paper

Section: English Language

Question : 4 of 106

Marks: +1, -0

Determine the value of 'x' when

√^3 3^x=27

Solution:

Expression :

√^3 3^x=27

⇒

(3)^{x / 3} = (3) ^3

Comparing both exponents, we get :
⇒

x/3 =3

⇒

x = 3 × 3 = 9

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