Question

Log 100 rational or irrational justify your answer

Answer 1

log 100 is rational . the reason is
log 100 = log 10 ^2
= 2 log 10
=2 ( since log 10=1)
therefore log 100 = 2 ,which is a rational number

Answer 2

Answer:

2 is a rational number.

Step-by-step explanation:

Given : Number $\log 100$

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

$\log 100=\log 10^2$

Applying logarithmic property,

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

$\log 100=2\log 10$

We know, $\log 10=1$

$\log 100=2(1)$

$\log 100=2$

2 is a rational number.