SOLUTION: Log subscript3 (X)+logsubscript3 (x^2-8)= log38X

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Log subscript3 (X)+logsubscript3 (x^2-8)= log38X      Log On


   

Question 751410: Log subscript3 (X)+logsubscript3 (x^2-8)= log38X
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Log subscript3 (X)+logsubscript3 (x^2-8)= log38X
log%283%2C%28x%29%29%2Blog%283%2C%28x%5E2-8%29%29=log%283%2C%288x%29%29
log%283%2C%28x%29%28x%5E2-8%29%29=log%283%2C%288x%29%29
(x)(x^2-8)=8x
x^2-8=8
x^2=16
x=±√16
x=-4 (reject, 8x>0)
or
x=4