A-Level Maths OCR B (MEI) (H640)

Understand the laws of logarithms and be able to apply them, including to taking logarithms of both sides of an equation.

• $\log_a{(xy)} = \log_a{x} + \log_a{y}$
• $\log_a{\Big(\dfrac{x}{y}\Big) = \log_a{x} - \log_a{y}}$
• $\log_a{x^k} = k\log_a{x}$

Including, for example, $k = -1$ and $k = -\frac{1}{2}$.

Excluded: Change of base of logarithms.