is log 2 and 100 are rational or irrational ?justify your answer
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Step-by-step explanation:
Answer:
2 is a rational number.
Step-by-step explanation:
Given : Number
To find : Is the number is rational or irrational ?
Solution :
Rational number is defined as the number written in p/q form where p and q are integers and q is non-zero.
Irrational number is not rational.
Number \log 100log100 can be written as
\log100 = \log10^2log100=log10
2
Applying logarithmic property,
\log a^x= x\log aloga
x
=xloga
\log 100 = 2\log10log100=2log10
We know, \log10 = 1log10=1
\log100 = 2(1)log100=2(1)
\log100 = 2log100=2
2 is a rational number .
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