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(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation

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

Set the inner arguments equal to one another.


Add 2 to both sides


Subtract 8x from both sides


Combine like terms on the left side


Divide both sides by -4 to isolate x



Reduce


So the possible answer is


However, since you cannot take the log of negative number, this means that is not a real solution. So there are no solutions.

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