Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, use a calculator to obtain a decimal approximation to three decimal places, for the solution.
- log2 (x−3) + log2 x − log2 (x+2) =2
- ln (x−4) + ln (x+1) = ln (x −8)
- 2 log3 (x+4) =log3 9 + 2
- ln x + 3‾‾‾‾‾‾√ = 1
- log2 y − 3 = − log2 (y + 2)