Solve P=10000*2^-0,25t

$$P = 10000 \cdot 2 ^ { - 0,25 } t$$

Solve for t

$$t=\frac{\sqrt[4]{2}P}{10000}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$10000\times 2^{-0,25}t=P$$

The equation is in standard form.

$$\frac{10000}{\sqrt[4]{2}}t=P$$

Divide both sides by 10000\times 2^{-0,25}.

$$\frac{\frac{10000}{\sqrt[4]{2}}t\sqrt[4]{2}}{10000}=\frac{P\sqrt[4]{2}}{10000}$$

Dividing by 10000\times 2^{-0,25} undoes the multiplication by 10000\times 2^{-0,25}.

$$t=\frac{P\sqrt[4]{2}}{10000}$$

Divide P by 10000\times 2^{-0,25}.

$$t=\frac{\sqrt[4]{2}P}{10000}$$

Solve for P

$$P=5000\times 2^{0,75}t$$