Question 93116
How do i evaluate the following:
log3 81
WRITE THE NUMBER AS A POWER OF BASE.THAT POWER IS THE LOG OF THE NUMBER TO THE BASE.
HERE NUMBER = N  =81
BASE = B =3
WE KNOW THAT 
3*3*3*3=3^4=81........P=4
HENCE
LOG(81) TO BASE 3 = 4 
[LOGARITHM] = P=4

log4 256
N=256.......B=4............4^4=256.....P=5
LOGARITHM =4


log2 (1/32)
N=1/32.B=2...........[2*2*2*2*2]^(-1) =2^(-5)=1/32........P=-5
LOGARITHM =-5




log5 1
N=1........B=5...........5^0=1.........P=0
LOGARITHM =0


log3 (-1)
N=-1....B=3.........WE HAVE NO POWER P WHICH MAKES 3^P=-1
SO IT DOES NOT EXIST...
INFACT LOG OF 0 OR NEGATIVE NUMBER DO NOT EXIST
WE CAN HAVE LOGS FOR POSITIVE NUMBERS ONLY.
Please help
thanks
Lucy