Logarithmic Identities

We may use the following logarithmic identifies. If we do, we'll supply them in your equation sheet.

$$ \begin{align} &\log{(xy)} = \log{(x)} + \log{(y)}\\ &\log{(\frac{x}{y})} = \log{(x)}-\log{(y)}\\ &\log{(x^d)} = d\log{(x)}\\ &\log{(\sqrt[y]{x})} = \frac{\log{(x)}}{y}\\ &\log{(x^cy^d)} = \log{(x^c)}+\log{(y^d)} = c\,\log{(x)}+ d \log{(y)}\\ &\log_b{x} = \frac{\log_c{x}}{\log_c{b}} \end{align} $$