How to Calculate Log Base 10?

How do you find log base 10 (log10) value?

Log10 Calculation

Logarithms are used in Chemistry, Mathematics, Physics and in Scientific Notations. There are two kinds of logarithms, called the Common Logarithm, also known as Briggian logarithm or the decadic logarithm and the Natural Logarithm, also known as the Napierian Logarithm. Logarithm uses a base number to another number to obtain a resultant number. In other words logs are exponents.
The common logarithm, also known as log base 10 is the logarithm to the base 10. The power to which the base e (e = 2.718281828) must be raised to obtain a number is called the natural logarithm (ln) of the number. The common logarithm of x is the power to which the number 10 must be raised to obtain the value x. For example, the common logarithm of 10 is 1, the common logarithm of 100 is 2 and the common logarithm of 1000 is 3. That is Common Logarithm (10) is raised to the power of 2 to obtain 100 and is raised to the power of 3 to obtain 1000.
Where,
10 is the log base
2 is the logarithm, also known as the exponent or power
100, 1000 are the numbers
Make use of this simple step by step tutorial to learn how to calculate log base 10.

Formula:
Log base 10 of a number "x" is the power to which the number 10 must be raised to obtain the value x.
Hence, log10 calculation can be done using the formula,
Log₁₀ n = 10^x = n
Where,
x is the log₁₀ of n.
That is, the number of times number 10 should be multiplied by itself to obtain n.

Step 1: Consider the below example:
Lets assume that we are required to find the log base 10 for the numbers 100, 1000, 100000. Hence lets assign the values as below.
log₁₀(100)
log₁₀(1000)
log₁₀(100000)

Step 2: Substituting the Values:
log₁₀ (100) = 10² = 100
log₁₀ (1000) = 10³ = 1000
log₁₀ (100000) = 10⁵ = 100000
Hence,
log base 10 of 100 is 2
log base 10 of 1000 is 3
log base 10 of 100000 is 5

Hence, the log base 10 value for different numbers can be calculated accordingly.
Log10 Calculation can be done online using a simple log base 10 calculator.
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