Question

if (9^4)^2 =3^x then the value of 'x' is​

Answer 1

Answer:

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Step-by-step explanation:

$( { ({9})^{4} })^{2} = {3}^{x} \\ = > ( { ({ ({3})^{2} })^{4} })^{2} = {3}^{x} \\ = > {3}^{16} = {3}^{x} \\ = > comparing \: on \: both \: sides \\ we \: get \\ = > \boxed{x = 16}$

Answer 2

Answer:

• x = 16

Step-by-step explanation:

(9^4)^2 = 3^x

9^4×2 = 3^x

9^8 = 3^x

(3^2)^8 = 3^x

3^2×8 = 3^x

3^16 = 3^x → x = 16