Logarithms, SMB-010 Solve the equation `2 log_2(x + 5)-log_2(x + 9) = 1`. (3 marks) --- 6 WORK AREA LINES (style=lined) --- Show Answers Only `x = text{−1}` Show Worked Solution `2 log_2(x + 5)-log_2(x + 9)` `= 1` `log_2(x + 5)^2-log_2(x + 9)` `= 1` `log_2(((x + 5)^2)/(x + 9))` `= 1` `((x + 5)^2)/(x + 9)` `= 2` `x^2 + 10x + 25` `= 2x + 18` `x^2 + 8x + 7` `= 0` `(x + 7)(x + 1)` `= 0` `:. x = -1\ \ \ \ (x != text{−7}\ \ text(as)\ \ x > text{−5})`