Logarithms and Complex Numbers
Logarithms, natural logs, common logs and complex-number operations
Logarithm Calculator
Calculate logarithms with base 10, base e, base 2, or any valid custom base. Includes domain checks, exact-value detection, and step-by-step explanation.
Natural Log Calculator
Calculate ln(x), the natural logarithm with base e. Supports positive numbers, fractions, e powers, exact matches, and explanatory steps.
Log Base 2 Calculator
Calculate log base 2, also called the binary logarithm. See exact powers of two, decimal results, and bit length for positive integers.
Complex Number Calculator
Calculate complex number arithmetic in rectangular or polar form. Supports addition, subtraction, multiplication, division, conjugates, inverse, powers, roots, modulus, argument, and form conversion.
Complex Modulus Calculator
Find the modulus or absolute value of a complex number in rectangular or polar form. Shows exact radical output, squared modulus, real and imaginary parts, argument, and geometry.
Complex Number Form Converter
Convert a complex number between rectangular, polar, trigonometric, and exponential forms. Includes exact angles, exact modulus when possible, steps, copy buttons, and an Argand-plane view.