Log 1 value – Introduction, Properties, Log Table & Values

Log 1 value – Introduction, Properties, Log Table & Values

About Log 1 Value

Log 1 value is the natural logarithm of 1, which is 0.693. It is a mathematical function used to calculate the exponential of a number. The log 1 value is used to find the base of a natural exponential function.

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What are Logarithmic Functions?

A logarithmic function is a function in mathematics in which the input (x) is in the form of a logarithm. In other words, a logarithmic function is the inverse of an exponential function. The most common form of a logarithmic function is y = log x, in which y is the output and x is the input.

Properties of Logarithm-

• The logarithmic function is the inverse of the exponential function.
• The logarithm is a function that takes a real number as input and outputs the base-10 logarithm of that number.
• The logarithm is a monotonic function–meaning that it either increases or decreases monotonically as you move from left to right across its graph.
• The logarithm is a continuous function–meaning that it has no breaks or gaps in its graph.
• The domain of the logarithm is all real numbers.
• The logarithm range is the set of all real numbers less than or equal to zero.

Classification of Logarithm Function-

The logarithm function is classified as a transcendental function.

What do you Mean by Common Logarithmic Function?

A common logarithmic function is a function that takes a real number as input and outputs the base 10 logarithms of that number.

What do you mean by Natural Logarithmic Function?

A natural logarithmic function is a function that maps real numbers to real numbers and has the property that the slope of the graph is equal to the inverse of the function.

What is the Value of Log 1? (A small explanation) How to find the value of log 1?

The value of log 1 is 0.

To find the value of log 1, you would use the logarithm function on a calculator and set the base to 1. The logarithm function is “log,” and the base is “b.” So, you would use the following keystrokes on a calculator: log(1) or log 1.

How to Find the Value of Ln 1?

The value of Ln 1 is 0.

ln(1) = 0

1

Table showing Ln Values from 1 to 10. Log Values From 1 to 10 to the Base e are Given Below –

Ln Value Log Value to the Base e 1 0.0000000 2 0.3010300 3 0.4771212 4 0.6020606 5 0.6989698 6 0.7745574 7 0.8269263 8 0.8862963 9 0.9181818 10 0.9527272

Questions to be Solved on Log 1

Question: What is the value of x?

Answer: The value of x is 1.

Using logarithms in daily life

Logarithms are used in many ways in daily life. One way is to calculate how much interest has been earned on a bank account. This is done by taking the logarithm of the account balance and then raising it to the power of the interest rate. Another example is to find the pH of a solution. This can be done by taking the logarithm of the concentration of hydrogen ions and then raising it to the power of the negative of the base.

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