[tex]14(0.89)^{x + 4.5} = 162[/tex]
[tex]\frac{14(0.89)^{x + 4.5}}{14} = \frac{162}{14}[/tex]
[tex]0.89^{x + 4.5} = 11\frac{4}{7}[/tex]
[tex]ln(0.89^{x + 4.5}) = ln(11\frac{4}{7})[/tex]
[tex](x + 4.5)ln(0.89) = ln(11\frac{4}{7})[/tex]
[tex]\frac{(x + 4.5)ln(0.89)}{ln(0.89)} = \frac{ln(11\frac{4}{7})}{ln(0.89)}[/tex]
[tex]x + 4.5 = -2101.14032500[/tex]
[tex]x = 2105.64032500[/tex]
