Question

What is the simplified base for the function f(x) = 2(3√27^2x?

Answer 1

Answer:

9

Step-by-step explanation:

  Given function as    

  So 27 can be written as 3^3

 We know that (a^m)^n = a^m n

 So we can write the above function as

       f(x) = 2 ∛(3)^2 x

 Now again we can write as  

       f(x) = 2∛3^6 x  

   f(x) = 2  (3^6 x)^1/3

   f(x) = 2(3^2)^x

   f(x) = 2 x 9^x

 So base is 9 for exponent x

Thus simplified base for the function is 9.