question about root

3.2=1.05^t  what does t equal?

 

$$\begin{array}{rcl}
3.2 &=& 1.05^{\textcolor[rgb]{1,0,0}{t}} \quad | \quad \ln{}\\ \\
\ln{(3.2)} &=& \ln{(1.05^{\textcolor[rgb]{1,0,0}{t}}} )} \\ \\
\ln{(3.2)} &=& \textcolor[rgb]{1,0,0}{t}} \times \ln{(1.05)} \\ \\
\textcolor[rgb]{1,0,0}{t}} &= &{\ln{(3.2)} \over \ln{(1.05)}
} \\ \\
\textcolor[rgb]{1,0,0}{t}} &= &{1.16315080981\over 0.04879016417
} \\ \\
\textcolor[rgb]{1,0,0}{t}} &= & 23.8398625954
\end{array}$$