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Logarithm to base 10

MuPAD® notebooks are not recommended. Use MATLAB® live scripts instead.

MATLAB live scripts support most MuPAD functionality, though there are some differences. For more information, see Convert MuPAD Notebooks to MATLAB Live Scripts.




log10(x) represents the logarithm of x to the base 10.

Mathematically, log10(x) is equivalent to log(10, x). See Example 1.

The logarithm to the base 10 is defined for all complex arguments x ≠ 0.

log10(x) rewrites logarithms to the base 10 in terms of the natural logarithm: log10(x) = ln(x)/ln(10). See Example 2.

See the ln help page for details.

Environment Interactions

When called with a floating-point argument, this function is sensitive to the environment variable DIGITS which determines the numerical working precision.


Example 1

Compute these logarithms using log10:

log10(10), log10(1000), log10(1)

Compute the same logarithms using log with 10 as the first argument:

log(10, 10), log(10, 1000), log(10, 1)

Example 2

log10 rewrites logarithms in terms of ln:

log10(x), log10(x^2 - 1)

Example 3

For floating-point values, log10 returns floating-point results:

log10(123.4), log10(5.6 + 7.8*I), log10(-15.45)

Example 4

For floating-point intervals, log10 returns results as floating-point intervals:




An arithmetical expression

Return Values

Arithmetical expression

Overloaded By


See Also

MuPAD Functions

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