How to Use the IMLOG10 Function in Excel

Today, we will explore the IMLOG10 function, a robust tool in both Excel and Google Sheets designed to compute the base-10 logarithm of a complex number formatted as x + yi or x + yj. We will cover its syntax, provide practical examples, and discuss various applications of the function.

Syntax

The syntax for the IMLOG10 function is consistent across both Excel and Google Sheets:

IMLOG10(inumber)

Where:

  • inumber (required): This is the complex number for which the base-10 logarithm needs to be calculated.

Examples

Let us review some examples to demonstrate the usage of the IMLOG10 function.

Example 1

Computing the base-10 logarithm of a complex number in Excel:

Formula Result
=IMLOG10(“3+4i”) 0.860338006

In this case, the base-10 logarithm of the complex number 3 + 4i is approximately 0.860338006.

Example 2

Finding the base-10 logarithm of a complex number in Google Sheets:

Formula Result
=IMLOG10(“5-2i”) 0.629535674

Here, the base-10 logarithm of the complex number 5 – 2i is roughly 0.629535674.

Use Cases

The IMLOG10 function is incredibly useful in a variety of contexts, including:

  • Complex number analysis
  • Engineering computations
  • Scientific research

By applying the IMLOG10 function, you can efficiently simplify and streamline complex logarithmic calculations that involve imaginary numbers.

Now equipped with knowledge about the IMLOG10 function, you can effectively use it in Excel and Google Sheets to manage logarithmic operations involving complex numbers with ease.

More information: https://support.microsoft.com/en-us/office/imlog10-function-58200fca-e2a2-4271-8a98-ccd4360213a5

Other functions
Returns the modified Bessel function In(x)
Returns the Bessel function Jn(x)
Returns the modified Bessel function Kn(x)
Returns the Bessel function Yn(x)
Converts a binary number to decimal
Converts a binary number to hexadecimal
Converts a binary number to octal
Returns a 'Bitwise And' of two numbers
Returns a value number shifted left by shift_amount bits
Returns a bitwise OR of 2 numbers
Returns a value number shifted right by shift_amount bits
Returns a bitwise 'Exclusive Or' of two numbers
Converts real and imaginary coefficients into a complex number
Converts a number from one measurement system to another
Converts a decimal number to binary
Converts a decimal number to hexadecimal
Converts a decimal number to octal
Tests whether two values are equal
Returns the error function
Returns the error function
Returns the complementary error function
Returns the complementary ERF function integrated between x and infinity
Tests whether a number is greater than a threshold value
Converts a hexadecimal number to binary
Converts a hexadecimal number to decimal
Converts a hexadecimal number to octal
Returns the absolute value (modulus) of a complex number
Returns the imaginary coefficient of a complex number
Returns the argument theta, an angle expressed in radians
Returns the complex conjugate of a complex number
Returns the cosine of a complex number
Returns the hyperbolic cosine of a complex number
Returns the cotangent of a complex number
Returns the cosecant of a complex number
Returns the hyperbolic cosecant of a complex number
Returns the quotient of two complex numbers
Returns the exponential of a complex number
Returns the natural logarithm of a complex number
Returns the base-2 logarithm of a complex number
Returns a complex number raised to an integer power
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Returns the real coefficient of a complex number
Returns the secant of a complex number
Returns the hyperbolic secant of a complex number
Returns the sine of a complex number
Returns the hyperbolic sine of a complex number
Returns the square root of a complex number
Returns the difference between two complex numbers
Returns the sum of complex numbers
Returns the tangent of a complex number
Converts an octal number to binary
Converts an octal number to decimal
Converts an octal number to hexadecimal