10000(t)=1285(5)^(t/2)

asked by guest
on Nov 14, 2024 at 6:32 pm



You asked:

Solve the equation 10000t=1285⋅5t210000 t = 1285 \cdot {5}^{\frac{t}{2}} for the variable tt.

MathBot Answer:

The 2 solutions to the equation are: t=0.23228272242357230154851567210227701809282864645log⁡(5)≈0.14432537t=7.06107830801762520797318231718694006523897766216log⁡(5)≈4.3872946\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}

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