The value of log2020 1 is
Answers
The value of log 1 to the base 10 is equal to 0. It can be evaluated using the logarithm function, which is one of the important mathematical functions. Log functions are commonly used to solve many lengthy problems and reduce the complexity of the problems by reducing the operations from multiplication to addition and division to subtraction. In this article, we are going to learn and evaluate the value of log 1 for common and natural logarithmic functions.
Logarithmic Functions
Generally, the logarithm is classified into two types. They are
Common Logarithmic Function (represented as log)
Natural Logarithmic Function (represented as Ln)
The log function with base 10 is called the common logarithmic functions and the log with base e is called the natural logarithmic function.
The logarithmic function is also defined by,
if logab = x, then ax = b.
Where x is defined as the logarithm of a number ‘b’ and ‘a’ is the base of the log function that could have any base value, but usually, we consider it as ‘e’ or ‘10’ in terms of the logarithm. The value of the variable ‘a’ can be any positive number but not equal to 1 or negative number.
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log 2020 base 2020 +log 1 base 2020 is 1
We have to findthe value of log_{2020}(2020)+log_{2020}(1)log
2020
(2020)+log
2020
(1)
We know log_{m}m=1log
m
m=1 , where m is the base
and log_{m}1=0log
m
1=0
so log_{2020}(2020)+log_{2020}(1)log
2020
(2020)+log
2020
(1)
=1+0=1+0
=1=1
so log_{2020}(2020)+log_{2020}(1)=1log
2020
(2020)+log
2020
(1)=1
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