iit 1990 question

log27 is:
a)integer
b)rational
c)irrational
d)complex roots
give proof as well

2 Answers

1
xYz ·

irrational.....
let it be rational
log27=m/n
7=2m/n
7n=2m
L.H.S one is odd and r.H.s is even....
a number cannot be both odd or even at sam tim...
hence there is contradiction

1
Arshad ~Died~ ·

thats right but thats the simplest proof....i was looking for something more elegant......
;-)

Your Answer

Close [X]