There is no way to use methods of algebra to solve an equation for 
an unknown that appears both inside and outside of a logarithmic, 
exponential, or trigonometric function.  The only way is to 
approximate it with a computer, calculator, or iterative method 
("educated" trial and error).

Perhaps you did not mean to have " x= " in the front as if it were
part of the equation, and meant only this equation:



Let's convert one of the logs so we will have both logs to the same 
base.

I choose to convert  to base 2.

You should memorize the change of base formula:

 

and plug in a=x, b=8, c=2



So substitute  for  in







Multiply through by 3







By the definition of logarithms, from the above equation,
we have this:

 

(You fill in those blanks, the first one with an 
eponential expression and the second with a number.

Edwin