Applying logarithm properties, it is found that the logarithm of 1024 is of 3.1.
What is the logarithm of 1024?
To find the logarithm of 1024, first we have to know the property of the logarithm of an exponent, given as follows:
[tex]\log_{x^n} = n\log{x}[/tex]
1024 is equivalent to 2 to the 10th power, as follows:
[tex]1024 = 2^{10}[/tex]
Hence the logarithm of 1024 can be written as follows:
[tex]\log{1024} = \log{2^{10}}[/tex]
Applying the exponent property, we have that:
[tex]\log{1024} = 10\log{2}[/tex]
It is known that log(2) = 0.301, hence:
log(1024) = 10 x log(2) = 10 x 0.301 = 3.1.
More can be learned about logarithms at https://brainly.com/question/2528611
#SPJ1
