Verified Answer :

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