Question

is log 2 and 100 are rational or irrational ?justify your answer ​

Answer 1

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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