Question

log 100 rational or irrational ? justify your answer​

Answer 1

Question :-

log 100 rational or irrational ?

Answer :-

Let log 100 = x

⟹ log10² = x

⟹ 2 log10 = x = 2

⛬ log 100 = 2

Hence, it is rational

Answer 2

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 $\log 100$ can be written as

$\log100 = \log10^2$

Applying logarithmic property,

$\log a^x= x\log a$

$\log 100 = 2\log10$

We know, $\log10 = 1$

$\log100 = 2(1)$

$\log100 = 2$

2 is a rational number.

Hope it helps uhh..