SOLUTION: Please help me solve this equation: {{{log(7,(x+4)) + log(7,(x-2)) = 1}}}, {{{x>2}}}

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Question 141324: Please help me solve this equation:
,

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
Please help me solve this equation:
,


Use this rule on the left side:
               

, 

Now use this rule to rewrite the equation:
                is equivalent to 

, 

Simplify, FOIL out the right side:

,  

, 

Get  on the left by subtracting
7 from both sides:

, 

, 

Factor the right side:

, 
             
Use the zero-factor principle:

x-3=0 gives x=3
x+5=0 gives x=-5

However we must discard that second answer
because we are given the restriction that 

So the only solution is 

Edwin

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