Time for Equal Exponential Growth

Let the function $$f(t) = 3e^{2t}$$ represent the amount of a substance present at time $$t$$ years. Additionally, let the function $$g(t) = 4e^{3t}$$ represent the amount of a different substance present at the same time $$t$$.

Determine the time $$t$$ when the amount of substance $$f(t)$$ equals the amount of substance $$g(t)$$. Provide your final answer as a decimal, rounded to two decimal places.