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Question

How do you evaluate log1?


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Solution

Calculate the value of log1

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 log1 since the base is not defined here, let us consider the base as 10

Hence, we can writelog1as log101

Now, from the logarithm definition, we have the value of a=10 and b=1 Such that,

log101=x

By the logarithm rule, rewrite the above expression as

10x=1

Any number raised to the power 0 is equal to 1 . Thus,10 raised to the power 0 makes the above expression true.

100=1

This will be a condition for all the base values of log, where the base raised to the power 0 will give the answer as 1

Hence the value of log1is 0.


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