Because log (x) is the sum of the terms of the form log (1 + 2−k) corresponding to those k for which the factor 1 + 2−k was included in the product P, log (x) may be computed by simple addition, using a table of log (1 + 2−k) for all k. Logarithm integral The integral of logarithm of x: ∫ log b (x) dx = x ∙ ( log b (x) - 1 / ln (b) ) + C For example: ∫ log 2 (x) dx = x ∙ ( log 2 (x) - 1 / ln (2) ) + C Logarithm approximation log 2 (x) ≈ n + (x /2 n - 1) , Complex logarithm For complex number z: z = reiθ = x + iy The complex logarithm will be (n = ...-2,-1,0,1,2,...): In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

Understanding the Context

The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base. Log into Facebook to start sharing and connecting with your friends, family, and people you know. Notice that 'b' is the base both on the left and right sides of the implies symbol and in the log form see that the base b and the exponent x don't stay on the same side of the equation. The meaning of LOG is a usually bulky piece or length of a cut or fallen tree; especially : a length of a tree trunk ready for sawing and over six feet (1.8 meters) long.

Key Insights