SOLUTION: solve the following logarithmic equation
ln(x)= ln(2)+ln(x+1)
Algebra.Com
Question 328988: solve the following logarithmic equation
ln(x)= ln(2)+ln(x+1)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ \ln(2)\ +\ \ln(x\ +\ 1))
Use: The sum of the logs is the log of the product,
 + \log_b(y) = \log_b(xy))
to write:
\ =\ \ln(2(x\,+\,1))\ =\ \ln(2x\ +\ 2))
Use:
\ =\ \ln(\beta)\ \ \Leftrightarrow\ \ \alpha\ =\ \beta)
to write:
Then solve for 
However, this solution must be discarded because the domain of the logarithm function is )
The solution set of this equation is the empty set.
John
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