SOLUTION: Rewrite the equation so that it contains no logarithms: 2log3x−log3(x2−1)=1.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite the equation so that it contains no logarithms: 2log3x−log3(x2−1)=1.      Log On


   

Question 1058665: Rewrite the equation so that it contains no logarithms: 2log3x−log3(x2−1)=1.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Rewrite the equation so that it contains no logarithms: 2log3x−log3(x2−1)=1.
-----------------
log3(x^2) - log3(x^2-1) = 1
-------
log3[x^2/(x^2-1)] = 1
------
x^2/(x^2-1) = 3
------
x^2 = 3x^2 - 3
------
2x^2 = 3
x^2 = 3/2
x = +-sqrt(3/2)
--------------
Cheers,
Stan H.
-----------