We need to find the value of log 1
First let us know the definition of logarthim
From the definition of logarithm function, logab = x can be written in the form of an exponential function as given below:
Then, ax = b
To find the value of log 1, since the base is not defined here, let us consider the base as 10.
Hence, we can write log 1 as log10 1.
Now, from the logarithm definition, we have the value of a = 10 and b = 1. Such that,
log10 x = 1
By the logarithm rule, we can rewrite the above expression as;
10x = 1
As we know, any number raised to the power 0 is equal to 1. Thus, 10 raised to the power 0 makes the above expression true.
So, 100 = 1
This will be a condition for all the base value of log, where the base raised to the power 0 will give the answer as 1.
Therefore, the value of log 1 is zero.