Solve 5/10=log(frac{d_{2}}{d_{1}})^2

$$\frac { 5 } { 10 } = \log ( \frac { d _ { 2 } } { d _ { 1 } } ) ^ { 2 }$$

Solve for d_1

$$d_{1}=\frac{10^{\frac{3}{4}}d_{2}}{10}$$

$$d_{1}=-\frac{10^{\frac{3}{4}}d_{2}}{10}\text{, }d_{2}\neq 0$$

Solve for d_2

$$d_{2}=\sqrt[4]{10}d_{1}$$

$$d_{2}=-\sqrt[4]{10}d_{1}\text{, }d_{1}\neq 0$$