[tex] {6}^{x - 3} = \frac{1}{36} [/tex]
[tex] {6}^{x - 3} = \frac{1}{ {6}^{6} } [/tex]
[tex] {6}^{x - 3} = {6}^{ - 6} [/tex]
when bases are equal we equate powers
[tex]x - 3 = - 6[/tex]
[tex]x = - 3[/tex]
