L&E, 2ADV E1 2019 HSC 15a Solve `e^(2 ln x) = x + 6` (2 marks) --- 5 WORK AREA LINES (style=lined) --- Show Answers Only `x = 3 or -2` Show Worked Solution ♦ Mean mark 47%. `e^(2 ln x)` `= x + 6` `ln e^(2 ln x)` `= ln (x + 6)` `2 ln x` `= ln (x + 6)` `ln x^2` `= ln (x + 6)` `x^2` `= x + 6` `x^2-x-6` `= 0` `(x-3) (x + 2)` `= 0` `:. x = 3 \ \ (x>0)`