Question

How do I find the natural log of a given number by using a calculator?

Answer 1

To solve the question first we will recall the definition of natural logarithm. As the scientific calculators have button Ln for log, so we can easily calculate the value of a given number by inserting the value using a calculator.

Complete step by step solution:
We have to write the steps involved in finding the natural log of a given number by using a calculator.
We know that a logarithmic function is the inverse of exponential function.
We know that the natural logarithm is the logarithm with base equal to a mathematical constant e. The value of e is approximately equal to 2.718. For example, the natural logarithm of a number is written as ${{\log }_{e}}5$. It can also be written as $\ln 5$. The inverse of ${{\log }_{e}}5$ is ${{e}^{5}}$.
In scientific calculators there is a button labeled $\ln$. First we need to enter a number for which we have to calculate the natural log. Then by pressing the $\ln$ button we get the value of the natural log of an entered number.

Note: Logarithmic functions are used to discover the properties of exponential functions and used to solve exponential equations. If the calculator has a button labeled $\log$ then it is assumed as the common logarithm i. e. logarithm with base 10. The purpose of logarithm is to tell us about the exponent.