Log-log graphs scale both axes logarithmically, which causes functions of the form f(x) = a · xk to be depicted as straight lines with slope equal to the exponent k.

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?

Log z = ln (r) + i (θ+2nπ) = ln (√ (x2 + y2)) + i ·arctan (y/x)) Logarithm problems and answers Problem #1 Find x for log 2 (x) + log 2 (x -3) = 2 Solution: Using the product rule: log 2 (x∙ (x -3)) = 2 Changing …

This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

May 10, 2026 · Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8.

The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base.

Free logarithm calculator - step-by-step solutions to help simplify logarithmic expressions.

An exponential equation is converted into a logarithmic equation and vice versa using b x = a ⇔ log b a = x. A common log is a logarithm with base 10, i.e., log 10 = log.

For example the result for 2 x = 5 can be given as a logarithm, x = log 2 (5) . You will learn how to evaluate this logarithmic expression over the following lessons.

In other words, "log (x)" typically indicates log 10 (x) and ln (x) indicates log e (x). The intent of logarithms is to help simplify calculations in areas such as science, engineering, physics, and …