10000(t)=1285(5)^(t/2)
You asked:
Solve the equation \(10000 t = 1285 \cdot {5}^{\frac{t}{2}}\) for the variable \(t\).
MathBot Answer:
The 2 solutions to the equation are: \[\begin{aligned}t &= \frac{0.23228272242357230154851567210227701809282864645}{\log{\left(5 \right)}} \approx 0.14432537\\t &= \frac{7.06107830801762520797318231718694006523897766216}{\log{\left(5 \right)}} \approx 4.3872946\end{aligned}\]