Answer
If $\ln\Big(\dfrac{7x-23}{x+1}\Big)=\ln(x-3)$, then $\dfrac{7x-23}{x+1}=x-3$
Work Step by Step
To obtain the answer, the One-to-One Property of Logarithms must be used.
This property states that if $\log_{b}M=\log_{b}N$, then $M=N$
In this case, just make the expressions inside each of the logarithms equal to each other.