Okay, let's break this down step-by-step:
27 x 9^3x
= 27 x (3^3)^x (since 9 = 3^2)
= 27 x 3^3x
= 3^3 x 3^3x (since 27 is a product of 3)
Therefore, this expression can be written in the form 3^k where:
k = 3 + 3x
So k = 6 + x
Therefore, the final expression for k in terms of x is:
k = 6 + x
So for any value of x, k can be calculated as:
k = 6 + x
Does this make sense? Let me know if you have any other questions!