Question

27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k

Answer 1

27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x

3^3+9x = 3k

ln(3^3+9x) = ln(3^k)

3+9x(ln3)=k(ln(3))

k= 3(1+3x)/ln(3)

Explanation:

ln(x^n) = n(ln(x))