SOLUTION: log(3xto the power of 2+8)equals to 1+log(x\2+1)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(3xto the power of 2+8)equals to 1+log(x\2+1)      Log On


   

Question 1063938: log(3xto the power of 2+8)equals to 1+log(x\2+1)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(3xto the power of 2+8)equals to 1+log(x\2+1)
----
log(3x^2 + 8) = 1 + log((x/2)+1)
------
log[(3x^2 + 8)/((x/2)+1)] = 1
-------
(3x^2 + 8)/(x+2)/2 = 10
-------------------------
(3x^2+8) = 5x+10
-----
3x^2 - 5x - 2 = 0
(3x+1)(x-2) = 0
x = (1/3) or x = 2
--------------------
Cheers,
Stan H.
-----------