algebra 2

3825=1750e^.23t

$3825=1750e^{0.23t}\\ \frac{3825}{1750}=e^{0.23t}\\ 2.187514286\approx e^{0.23t}\\ ln{(2.187514286)}\approx ln{e^{0.23t}}\\ ln{(2.187514286)}\approx 0.23t\\ t \approx \frac{ln(2.187514286)}{0.23}\\ $

t= ln(2.187514286)/0.23 = 3.4033298694398451