The abbreviation log x is often used when the intended base can be inferred based on the context or discipline, or when the base is indeterminate or immaterial.

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

Twelve miles north of Evansville and one mile east of US Hwy 41, the Log Inn was built in 1825 as a Noon Day Stage Coach Stop and Trading Post. We have been officially recognized as the oldest …

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.

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.

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.

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

Problem 1 Rewrite log 3 x 2 as a single term using the power rule formula Show Answer