`ln(x + 1) - ln(x - 2) = ln(x)` Solve the logarithmic equation algebraically. Approximate the result to three decimal places.
Condense the equation using properties of logs
Since there are ln's on both sides, set the inner parts equal to each other
Cross multiply and simplify,
Use the quadratic formula,
x=` (3+sqrt13)/2 = 3.303`
Note that I omitted the negative value because it is never an answer (you cannot take the log or ln of it).