How to Calculate the Value of log 4?
To calculate the value of log 4 there are two methods i.e.,
- Using Log Table
- Using Logarithmic Formulas
Discuss these methods as follows:
Using a Log Table
For any number without any decimal it is very easy to find the value using log table as we can see
Step 1: Find a Log Table with base 10. (Refer for Log Table PDF)
Step 2: Locate the row corresponding to the mantissa (4).
Step 3: Identify the column for the characteristic (whole number part) which is 0 here.
Step 4: The intersection of row and column provides the logarithm value (log 4 ≈ 0.6021).
Read More about Log Table.
Using Logarithmic Formulas
We can calculate the value of log 4, using the value of log 2 and the basic logarithm formulas as follows:
log 4 = log(22) = 2 log 2 [Using log (ab) = b log a]
Value of log 2 ≈ 0.3010
Thus, log 4 ≈ 2 × 0.3010 = 0.6020
Value of Log 4
Value of log(4) is 1.3863 in base e (natural logarithm) and 0.6021 in base 10 (common logarithm). Logarithm is a mathematical function that expresses the power to which a base must be raised to produce a given number or we can say it is a different way to represent the exponent.
In this article, we will learn about the value of log 4 in different base such as 10, e, 3, and 2 and also learn about the methods from which we can find the value of log 4.