Find the values of x for which:

(log x)(log x^2) + log x^3 - 5 = 0

All logs are to the base ten.

I cannpt do this.

This is what I did.

log x + log x^2 + log x^3 - 5 = 0

log x (1+x+x^2) - 5=0

log x (1+x+x^2) = 5

I got stuck there, but I am sure this method is wrong.

Please help.

Thanks