Power and Voltage Gain Scale Converter

$$ \begin{aligned} \text{Power Gain:}\quad & dB = 10\log_{10}(R) \\ & R = 10^{dB/10} \\ \\ \text{Voltage / Amplitude Gain:}\quad & dB = 20\log_{10}(R) \\ & R = 10^{dB/20} \end{aligned} $$
$$ \begin{aligned} R &= \text{Linear Gain Ratio} \\ dB &= \text{Gain in Decibels} \\ 10\log_{10}(\cdot) &= \text{Used for Power Gain} \\ 20\log_{10}(\cdot) &= \text{Used for Voltage / Amplitude Gain} \\ \log_{10} &= \text{Base-10 Logarithm} \end{aligned} $$