Simplify the expression In x2 14x 45 In x 9 Choose the c

Simplify the expression. In (x^2 + 14x + 45) - In (x + 9) Choose the correct answer below. A. in (x^3 + 23x^2 + 171x + 405) B. In(x + 5) C. In (x^2+ 13x + 36) D. In x^2 + 14x + 45/x + 9

Solution

we need to remember that,
ln a - ln b = ln (a/b)

ln (x^2+14x+45) - ln (x+9)
= ln ((x^2+14x+45)/(x+9))

Answer: D