Difference between revisions of "Log a(b)=1/log b(a)"
From specialfunctionswiki
(Created page with "==Theorem== The following formula holds: $$\log_a(z) = \dfrac{1}{\log_b(a)},$$ where $\log_a$ denotes logarithm base a. ==Proof== ==References== * {{BookReference|Handbo...") |
m (Tom moved page Log a(z)=1/log b(a) to Log a(b)=1/log b(a)) |
||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
==Theorem== | ==Theorem== | ||
The following formula holds: | The following formula holds: | ||
| − | $$\log_a( | + | $$\log_a(b) = \dfrac{1}{\log_b(a)},$$ |
where $\log_a$ denotes [[logarithm base a]]. | where $\log_a$ denotes [[logarithm base a]]. | ||
Latest revision as of 02:07, 1 July 2017
Theorem
The following formula holds: $$\log_a(b) = \dfrac{1}{\log_b(a)},$$ where $\log_a$ denotes logarithm base a.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.20$
