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
