Difference between revisions of "Log a(b)=1/log b(a)"
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(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...") |
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==Theorem== | ==Theorem== | ||
The following formula holds: | The following formula holds: | ||
| − | $$\log_a( | + | $$\log_a(b) = \dfrac{1}{\log_b(a)},$$ |
where $\log_a$ denotes [[logarithm base a]]. | where $\log_a$ denotes [[logarithm base a]]. | ||
Revision as of 02:07, 1 July 2017
Theorem
The following formula holds: $$\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): $4.1.20$
