Question

for the function f (x)=log x, the base of the logarithm is​

Answer 1

Step-by-step explanation:

A natural logarithmic function is a logarithmic function with base e. f (x) = logex = ln x, where x > 0. ln x is just a new form of notation for logarithms with base e. Most calculators have buttons labeled "log" and "ln".

Answer 2

Answer: In the study of mathematics, the logarithm, log(x), is a specific logarithm because it is used frequently. A logarithm is referred to as a common logarithm when no base is specified, as in the case of log(x), and base 10 is assumed. In other words, the common logarithm, log(x), has a base of 10.

Step-by-step explanation:

• The logarithm is exponentiation's opposite function in mathematics. It indicates that the exponent to which a fixed number, base b, need to be raised in order to create a specific number x, is represented by the logarithm of that number.
• When there is no possibility of making mistake or when the base is not necessary, as in big O notation, the logarithm of x to base b is written as logb (x), logb x, or even without the explicit base, log x.
• Commonly employed in research and engineering, the decimal or common logarithm is the logarithm base 10 (that is, b = 10). Because of its easier integral and derivative, the natural logarithm, which uses the number e (i.e., b 2.718) as its basis, is widely used in mathematics and physics. In computer science, the binary logarithm, which has base 2 (i.e., b = 2), is frequently employed.

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