How to Calculate Value of log 5

Value of log 5 can be calculated using the following two methods:

  • Value of Log 5 using Log Table
  • Value of log 5 using Logarithmic Formulas

Let’s learn them in detail

Calculating Value of log 5 using the Log Table

Follow the below mentioned steps to calculate value of log 5 using Log Table

  1. Identify the Characteristics: Locate the logarithmic table and identify the columns for the integer part and decimal part of the logarithm.
  2. Find the Integer Part: In the table, find the entry corresponding to the whole number part of log5, which is 0 in this case.
  3. Find the Decimal Part: Locate the row that corresponds to the first two digits after the decimal point. For log5, it would be 69.
  4. Interpolate for Precision: If your table does not have an exact match for the decimal part, interpolate between the closest values to refine the result. For example, if 0.69 and 0.70 are listed and your value is 0.6990, interpolate accordingly.
  5. Combine Integer and Decimal Parts: Combine the integer and decimal parts to get the final logarithmic value. For log5, it would be approximately 0.6990.

Calculating Value of log 5 using the Logarithmic Formula

Log 5 can be calculated using log formulas in the following

log 5 = log(10/2)

= log 10 – log 2

Since log (A/B) = log A – log B

Substituting the values:

log 5 = 1-0.3010

log 5 = 0.6990

Related Reads,

Value of log 5

Value of the log 5 is approximately 0.69897. The value of log 5 is calculated on two bases 10 and e. On base 10, the value of log 5 is 0.69897 and the value of log 5 on base e is equal to 1.6094.

In this article, we will learn what is the value of log 5 on different bases, what is their meaning, and how to calculate the value of log 5.

Table of Content

  • What is Value of Log 5?
  • How to Calculate Value of log 5
  • Value of Log 5 – Solved Examples
  • Value of Log 5 – Practice Questions

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What is Value of Log 5?

Value of log 5 is the number which when raised to a power of 10 results in the number 5. This value is called a common logarithm. However, the value of log 5 is also calculated on base ‘e’ which means the number raised to the power of ‘e’ gives 5 as the result. Here, e is the Euler’s Number whose value is equal to 2.7182818….....

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