Solve 35m^3=L

$$35 m ^ { 3 } = L$$

Solve for L

$$L=35m^{3}$$

Solution Steps

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

$$L=35m^{3}$$

Solve for m (complex solution)

$$m=\frac{35^{\frac{2}{3}}e^{\frac{2\pi i}{3}}\sqrt[3]{L}}{35}$$

$$m=\frac{35^{\frac{2}{3}}\sqrt[3]{L}}{35}$$

$$m=\frac{35^{\frac{2}{3}}e^{\frac{4\pi i}{3}}\sqrt[3]{L}}{35}$$

Solve for m

$$m=\frac{35^{\frac{2}{3}}\sqrt[3]{L}}{35}$$