These functions compute integer approximations to logarithms of x. They are  based on the IEEE function logb.

The ilog[b](x) function approximates the integer base b logarithm, where the default base is exp(1).

You can enter the command ilog[b] using either the 1-D or 2-D calling sequence. For example, ilog[2](50) is equivalent to .

If x is real, ilog[b](x) returns r such that.

The ilog2(x) function returns the integer base 2 logarithm of x.

If x is real and r = ilog2(x), then r is either an exact integer or special symbolic value, and.

If x is a complex numeric, ilog2(x) returns  max(ilog2(Re(x)), ilog2(Im(x))).

If x is a special symbolic value, the indicated result is returned.

The ilog10(x) function returns the integer base 10 logarithm of x.

If x is real, ilog10(x) returns r such that r is either an exact integer or special symbolic value, and.

If x is a complex numeric, ilog10(x) returns  max(ilog10(Re(x)), ilog10(Im(x))).

If x is a special symbolic value, the indicated result is returned.

The computation of ilog2(x) and ilog10(x) is more efficient than ilog[b](x), b <> 2, 10.

The ilog2 and ilog10 commands are thread-safe as of Maple 15.

For more information on thread safety, see index/threadsafe.