SOLUTION: Solve the equation ln(4x-2)=ln(8x)

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Question 144334: Solve the equation ln(4x-2)=ln(8x)
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
ln%284x-2%29=ln%288x%29 Start with the given equation

Since the logs have the same base, this means that the arguments are equal. So

4x-2=8x Set the inner arguments equal to one another.


4x=8x%2B2Add 2 to both sides


4x-8x=%2B2 Subtract 8x from both sides


-4x=2 Combine like terms on the left side


x=%282%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=-1%2F2 Reduce


So the possible answer is x=-1%2F2


However, since you cannot take the log of negative number, this means that x=-1%2F2 is not a real solution. So there are no solutions.