LogTen
LogTen(x)
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.
Library
Math functions
Examples
- 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 [math]\displaystyle{ r e^{\theta j} }[/math]. Thus, [math]\displaystyle{ \log x = \log r + {\theta\over{\log(10)}} j }[/math]. In other words, the real part of the result is the log magnitude, and the imaginary part is proportional to phasor angle, where [math]\displaystyle{ \theta }[/math] is written here as if in radians.
LogTen(-1)→1.364j Note: when EnableComplexNumbers is 1LogTen(1000j)→3+0.682j
See Also
- Ln(X) : The natural logarithm.
- Exp(x)
- Complex Numbers
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