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The base-10 logarithm of «x». This the the value y such that 10^y = x.

Unless complex numbers are enabled, the parameter «x» must be must be non-negative or a warning will result. If Show Result Warnings is off, or the warning is ignored, the result is NaN.

When complex numbers are enabled, negative «x» values result in a result that is a complex number.


Math functions


LogTen(0) → -INF
LogTen(0.01) → -2
LogTen(1) → 0
LogTen(1K) → 3
LogTen(729)/LogTen(9) → 3

Complex numbers

When «x» is negative or complex, the result of LogTen(x) is a complex number. If you want LogTen to return a complex number for a negative parameter, you must set the system variable EnableComplexNumbers to 1, otherwise a warning is issued with a result of NaN. To set EnableComplexNumbers, see enabling complex numbers.

A complex number can be written in polar form as $ r e^{\theta j} $. Thus, $ \log x = \log r + {\theta\over{\log(10)}} j $. In other words, the real part of the result is the log magnitude, and the imaginary part is proportional to phasor angle, where $ \theta $ is written here as if in radians.

LogTen(-1) → 1.364j { When EnableComplexNumbers is 1 }
LogTen(1000j) → 3+0.682j

See Also


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