## What was the original use of logarithms?

The Scottish mathematician John Napier published his discovery of logarithms in 1614. His purpose was to assist in the multiplication of quantities that were then called sines.

## What are the 3 types of logarithms?

How Many Types Of Logarithms Are There?

• Common logarithm: These are known as the base 10 logarithm. It is represented as log10.
• Natural logarithm: These are known as the base e logarithm. It is represented as loge.

What is logarithmic function example?

For example, 32 = 2 × 2 × 2 × 2 × 2 = 22. The exponential function 22 is read as “two raised by the exponent of five” or “two raised to power five” or “two raised to the fifth power.” Then the logarithmic function is given by; f(x) = log b x = y, where b is the base, y is the exponent, and x is the argument.

### What is the standard logarithmic function?

The standard form for a logarithmic function is: y = loga x. Note, if the “a” in the expression above is not a subscript (lower than the “log”), then you need to update your web browser. Exponential.

### How do you know if a graph is a logarithmic function?

When graphed, the logarithmic function is similar in shape to the square root function, but with a vertical asymptote as x approaches 0 from the right. The point (1,0) is on the graph of all logarithmic functions of the form y=logbx y = l o g b x , where b is a positive real number.

What’s the difference between logarithmic and exponential?

The exponential function is given by ƒ(x) = ex, whereas the logarithmic function is given by g(x) = ln x, and former is the inverse of the latter. The domain of the exponential function is a set of real numbers, but the domain of the logarithmic function is a set of positive real numbers.

#### What is a logarithmic function simple definition?

: a function (such as y = loga x or y = ln x) that is the inverse of an exponential function (such as y = ax or y = ex) so that the independent variable appears in a logarithm.

#### What does B do in a logarithmic function?

The base b logarithm of a number is the exponent by which we must raise b to get that number. We read a logarithmic expression as, “The logarithm with base b of x is equal to y,” or, simplified, “log base b of x is y.” We can also say, “b raised to the power of y is x,” because logs are exponents.

How to know the base of a logarithmic function?

1 Log a 0 is undefined 2 Logarithms of negative numbers are undefined. 3 The base of logarithms can never be negative or 1. 4 A logarithmic function with base 10is called a common logarithm. Always assume a base of 10 when solving with logarithmic functions without a small subscript for the base.

## Do you use exponential functions for logarithmic functions?

To solve the logarithmic functions, it is important to use exponential functions in the given expression. The natural log or ln is the inverse of e. That means one can undo the other one i.e.

## When did J Napier write the logarithmic function?

The dependence between variable quantities expressed by the logarithmic function was first considered by J. Napier in 1614. The logarithmic function on the complex plane is an infinitely-valued function, defined for all values of the argument \$ z eq 0 \$, and is denoted by \$ \\mathop {m Ln} z \$ ( or \$ \\mathop {m ln} z \$ if no confusion arises).

How to find the logarithm of 7 2?

Given 7 2 = 64. Here, the base = 7, exponent = 2 and the argument = 49. Therefore, 7 2 = 64 in logarithmic function is; Write the logarithmic equivalent of 5 3 = 125. If 2 log x = 4 log 3, then find the value of ‘x’. Divide each side by 2. Find the logarithm of 1024 to the base 2.