Value of Log 10
The value of log can be either with base 10 or with base e. The log_{10 }10 value is 1 while the value of log_{e }10 or ln(10) is 2.302585.
What is the Value of Log 10?
Value of log_{10 }10  log_{10 }10 = 1 
Value of log_{e}10  log_{e}10 (ln 10) = 2.302585 
To recall, the logarithmic function is generally classified into two types, namely
 Common Logarithmic Function
 Natural Logarithmic Function
The log function with base 10 is called the common logarithmic functions, and the logarithm with base e is called the natural logarithmic function. Mostly the common log function is used. If the logarithmic functions contain different bases other than 10 and e, it is converted using the change of base rule.
The logarithmic function is defined by,
if log_{a}b = x, then a^{x} = b.
Where x is the logarithm of a number ‘b’, and ‘a’ is the base of the log function that could be either replaced by the value ‘e’ or ‘10’. The variable ‘a’ should be any positive number, and that should not be equal to 1.
In this article, let us discuss how to find the value of log 10 to the base 10 and base e in detail.
Also, check out key differences between log and ln here.
How to Calculate Log 10 value?
Now, let us discuss how to find the value of 10 using a common log function and natural log function.
Value of Log_{10} 10
The log function of 10 to the base 10 is denoted as “log_{10} 10”.
According to the definition of the logarithmic function, it is observed that
Base, a = 10 and 10^{x} = b
Therefore, the value of log 10 to the base 10 as follows
From the properties of the logarithmic function, we know that log_{a} a = 1
The value of log_{10} 10 is given as 1.
Log_{10} 10 = 1
Because the value of e^{1} = e.
Value of log_{e} 10
The natural log function of 10 is denoted as “log_{e} 10”. It is also known as the log function of 10 to the base e. The natural log of 10 is also represented as ln(10)
The value of log_{e }10 is equal to 2.302585
log_{e }10 = ln (10) = 2.302585
Log Values from 1 to 10
Some of the values of log functions to the base 10 from the value of log 1 to the value of log 10 are as follows:
Log 1  0 
Log 2  0.3010 
Log 3  0.4771 
Log 4  0.6020 
Log 5  0.6989 
Log 6  0.7781 
Log 7  0.8450 
Log 8  0.9030 
Log 9  0.9542 
Log 10  1 
Example Question Using Log Value
Question: Solve ln 3x = 5
Solution:
Given : ln 3x = 5
Take exponential on both sides to remove the natural log functions, it becomes
e^{ln 3x }= e^{5}
3x = e^{5}
3x = (2.7182)^{5}
x=(2.7182)^{5}/ 3
x=49.46
To know about the values of natural log and common log, register with BYU’S – The Learning App and also watch interactive videos to clarify the doubts.
More Topics Related to Log 10 Value 


Value of Log e  Value of Log Infinity 
Log Base 2  Value of Log 1 