SOLUTION: Solve. Log2(3-7x)=log2(6x^2)

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Question 1054386: Solve. Log2(3-7x)=log2(6x^2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3-7x=6x%5E2
6x%5E2%2B7x-3=0
%282x%2B3%29%283x-1%29=0
Two possible solutions:
2x%2B3=0
2x=-3
x=-3%2F2
and
3x-1=0
3x=1
x=1%2F3
Verify that the possible solutions lead to positive arguments for the log function for the left hand side since right hand side is squared,
3-7x=3-7%28-3%2F2%29=3%2B21%2F2=27%2F2
Good solution.
3-7%281%2F3%29=9%2F3-7%2F3=2%2F3
Good solution.