SOLUTION: Solve this equation for the missing variable and please show your work. Please explain it, I have no idea how to do it. My answer was x=12.169 Ln(x-4)Ln(x+6)= Lne^5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve this equation for the missing variable and please show your work. Please explain it, I have no idea how to do it. My answer was x=12.169 Ln(x-4)Ln(x+6)= Lne^5       Log On


   

Question 1030856: Solve this equation for the missing variable and please show your work. Please explain it, I have no idea how to do it. My answer was x=12.169
Ln(x-4)Ln(x+6)= Lne^5
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Ln(x-4)Ln(x+6) = Ln(e^5)
:
Ln(x-4)Ln(x+6) = 5
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Note that Ln(e^5) = 5Ln(e) = 5 * 1 = 5
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Consider the graph of y=5 and Ln(x-4)*Ln(x+6)
+graph%28+300%2C+200%2C+-10%2C+12%2C+-1%2C+8%2C+y=5%2C+ln%28x-4%29%2Aln%28x%2B6%29%29+
:
x is approx 10.0562
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