Log a(b)=1/log b(a)

Theorem

The following formula holds: $$\log_a(b) = \dfrac{1}{\log_b(a)},$$ where $\log_a$ denotes logarithm base a.

References

• 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.20$