Question

How do you evaluate `log(1/sqrt1000)`?

Answer 1

`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`