Table of Contents
Log Definition
A log is a record of events that have occurred, usually including the time and date of the event, the name of the person who initiated the event, and a brief description of the event. Logs are used to help track and troubleshoot problems, and to help maintain records of system activity.
Properties of Logarithm
The logarithmic function is the inverse of the exponential function. It is a mathematical function that is used to describe a relationship between two numbers. The logarithmic function can be used to solve problems in physics and engineering.
Some of the properties of the logarithmic function include the following:
1. The logarithmic function is a monotonic function. This means that it always increases or decreases in a consistent manner.
2. The logarithmic function is a smooth function. This means that the graph of the function is smooth and does not have any sharp points or curves.
3. The logarithmic function is a periodic function. This means that the graph of the function repeats itself after a certain interval.
4. The logarithmic function is an odd function. This means that the function produces a negative result when the input is negative.
5. The logarithmic function is a bounded function. This means that the function has a finite range of values.
Log Value from 1 to 10
1
What is Ln in Maths?
Ln is the natural logarithm.
Let’s go Through the Different Rules of Ln
Ln is the natural logarithm function. It is written as ln(x) and it is the inverse function of the exponential function ex.
ln(x) = y
x = ey
The following are the basic rules of ln.
1. ln(x) is always positive.
2. ln(1) is equal to 0.
3. ln(x) is the inverse of ex.
4. ln(x) is a function of x.
5. ln(x) is continuous.
6. ln(x) is differentiable.
Table Showing Ln Values From 1 to 10.
Ln 1
Ln 2
Ln 3
Ln 4
Ln 5
Ln 6
Ln 7
Ln 8
Ln 9
Ln 10
Difference Between Log and ln Graph
The red curve is the natural logarithm function, while the blue curve is the logarithm function.
The logarithm function is the inverse of the natural logarithm function.
Difference Between Log and Ln x
The difference between log and ln x is that log is the base 10 logarithm, while ln is the natural logarithm.
