SOLUTION: solve for x:(log3 X)^2 + log3 X^2 +1=0

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: solve for x:(log3 X)^2 + log3 X^2 +1=0      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 182755: solve for x:(log3 X)^2 + log3 X^2 +1=0
Answer by stanbon(57967) About Me  (Show Source):
You can put this solution on YOUR website!
:(log3 X)^2 + log3 X^2 +1=0
(log3 x )^2 + 2log3 x + 1 = 0
Factor:
(log3 x +1)^2 = 0
log3 x = -1
x^-1 = 3
x = 1/3 (with multiplicity two)
====================================
Cheers,
Stan H.