Question

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

Answer 1

Answer:

27*9^3x can be written in the form of 3^k.

$27 \times {9}^{3x} = {3}^{k} \\ \\ {3}^{2} \times {9}^{3x} = {3}^{k}$

So,

${3}^{2} \times {3}^{2 \times 3x} = {3}^{k}$

Equating the powers

$6x + 2 = k$