How do you evaluate log(1/sqrt1000)?

1 Answer
Mar 22, 2016

log (1/sqrt1000)=-3/2

Explanation:

log (1/sqrt1000)
=log(1/sqrt(10^3))
=log(1/10^(3/2))
=log10^(-3/2)->Use property 1/x^n =x^-n
=-3/2 *log 10-> Use property log_bx^n = n* log_bx
= -3/2 *1 -> log 10 =1
= -3/2