Step-by-step explanation:
Using the properties of logarithms, the left side of the equation becomes
[tex]\log{3x^3} - \log{x^2} = \log{3x}[/tex]
while the right hand side becomes
[tex]\log{27} - \log{x} = \log{\frac{27}{x}}[/tex]
so we end up with
[tex]3x^2 =27 \Rightarrow x = 3[/tex]
