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
