Solve each logarithmic equation

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.

  1. log2 (x−3) + log2 x − log2 (x+2) =2
  2. ln (x−4) + ln (x+1) = ln (x −8)
  3. 2 log3 (x+4) =log3 9 + 2
  4. ln x + 3‾‾‾‾‾‾√ = 1
  5. log2 y − 3 = − log2 (y + 2)

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