logarithm of base other than e,10 and 2

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how do i find logarithms having base other than e, 10 and 2.

Accepted Answer

James Tursa
James Tursa on 29 Jul 2012
logB(X) = logA(X) / logA(B)
You can pick A to be one of the built in functions, like log or log2 or log10. E.g.,
log3(9) = log(9) / log(3) , or
log3(9) = log10(9) / log10(3) , etc.
  1 Comment
Stephen23
Stephen23 on 18 Apr 2020
Note that for many MATLAB versions log10 itself called log2 internally... so you might as well skip the intermediate log10 and just call log2 directly (it is probably more accurate as well).

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More Answers (4)

Tsegts
Tsegts on 4 Nov 2022
how to write that base 3 log

Chris Lucero
Chris Lucero on 18 Apr 2020
Edited: Walter Roberson on 18 Apr 2020
y = logb(magic(3),[1 2 3; 4 5 6; 7 8 9]);

Walter Roberson
Walter Roberson on 18 Apr 2020
if you really get desparate:
arrayfun(@(V) feval(symengine,'log', B, V), A)
and you might want to double() the result. Note that for this to work, B must be a positive real number, whereas in Jame's solution of log(A)/log(B) then B does not need to be positive and does not need to be real-valued.

lina al noaimi
lina al noaimi on 26 Feb 2022
how do we convert from base 9 to base 12 in matlab
can you give me an example on it
  1 Comment
Walter Roberson
Walter Roberson on 26 Feb 2022
If you mean numeric base, in the same sense that Hexadecimal representation is base 16 number system, then use base2dec and dec2base.
If you mean log base then log12(x) = log9(x).^(9/12)

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