Take logs of both sides  (can take natural logs instead if preferred)



Use the product-to-sum log fact on both sides:



Use the exponent-to-multiplier log fact on both sides:



Let's break three of those logs down to the side:

     1.  

     2. 

     3.  

Those are all in terms of log(2) and Log(3). 

To keep from getting bogged down with too many complicated symbols,

let A = log(2) and let B = log(3), then

     1.  

     2. 

     3.  


Now go back to the equation:



and substitute the expressions in A and B for the logs:



Multiply out:





Combine like terms on the left:



Get all the terms in x on the left and all the others on the right:



Combine like terms:



Factor out x on the left side and 4 out of the right side:



Divide both sides by (A+2B)



Edwin