IMLOG2 Google Sheet Formula

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IMLOG2 Formula Syntax

=IMLOG2("3+4i")

Example Use Case

Calculating the base-2 logarithm of a complex number

Understanding the IMLOG2 Formula

The IMLOG2 function in Excel returns the base-2 logarithm of a complex number. It's an advanced mathematical tool for complex analysis—like performing computations related to information theory, computer science, or binary scaling with complex numbers.

IMLOG2("3+4i") returns the base-2 logarithm of the complex number "3+4i". It takes a complex number argument in the form of text ("x+yi" or "x+yj"), calculating log₂(z) = log₂|z| + i×Arg(z)/ln(2)—valuable for applications in digital signal processing, information theory, or computational mathematics.

Why Use IMLOG2?

IMLOG2 enables complex logarithmic calculations in base 2—think computing bit requirements or analyzing binary data with complex components. Its implementation of the complex binary logarithm makes it useful in fields that work with binary systems but need to extend to the complex domain.

Example with Sample Data

Complex Number	Formula	Result
"3+4i"	=IMLOG2("3+4i")	2.3219280948+1.3373357802i
"1+i"	=IMLOG2("1+i")	0.5+1.1330900354i
"8"	=IMLOG2("8")	3

IMLOG2 computes binary logarithms: log₂(3+4i) approximately equals 2.32+1.34i. For real positive numbers like 8, it works exactly like the regular LOG2 function, returning 3. It's a complex base-2 logarithm calculator.