Question

Is log 2 rational or irrational? Is Log 100 rational or irrational? Justify your answer?

Answer 1

log 2 :
log base 10, 2
10 = 2 (There is no value of power 10 to get the value 10. So it is irrational)
log100:
log base 10, 100
10 = 100(100 can be represented as 10 ^2 . So it is a rational number.