Logarithms, SMB-005 Solve `log_3(t)-log_3(t^2-4) = -1` for `t`. (3 marks) --- 6 WORK AREA LINES (style=lined) --- Show Answers Only `4 ` Show Worked Solution `log_3(t)-log_3(t^2-4)` `= -1` `log_3 ({t}/{t^2-4})` `= -1` `(t)/(t^2-4)` `= (1)/(3)` `t^2-4` `= 3t` `t^2-3t – 4` `= 0` `(t-4)(t+ 1)` `= 0` `:. t=4 \ \ \ (t > 0, \ t!= –1)`