SOLUTION: Determine the real values of x such that {{{log(5x+9,(x^2+6x+9))+log(x+3,(5x^2+24x+27))=4}}}
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Question 1114883: Determine the real values of x such that
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Make a u substitution to make the notation easier....
Then
Then the equation is
or
(1)
or
(2)
See where each of those solutions leads us....
(1)
or
Check x=0: x+3 = 3; 5x+9 = 9
CHECK!
Check x=-1: x+3 = 2; 5x+9 = 4
CHECK!
(2)
Check x = -3/2: x+3 = 3/2; 5x+9 = 3/2
CHECK!
Answer: There are 3 solutions: x=0, x=-1, and x=-3/2.
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