SOLUTION: solve the following logarithmic equation ln(x)= 2+ln(x+1)

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Question 328989: solve the following logarithmic equation
ln(x)= 2+ln(x+1)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Ah ha! You wrote the problem incorrectly the first time, didn't you?

Put the ln functions on the right:



The difference of the logs is the log of the quotient:



Use the definition of the logarithm function:



to write:



Now just solve for











But



so



and the solution must be excluded because of the domain restrictions of the log function. Solution set is the empty set.

John