How do you evaluate log(1/sqrt1000)? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub 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 Answer link Related questions What is the common logarithm of 10? How do I find the common logarithm of a number? What is a common logarithm or common log? What are common mistakes students make with common log? How do I find the common logarithm of 589,000? How do I find the number whose common logarithm is 2.6025? What is the common logarithm of 54.29? What is the value of the common logarithm log 10,000? What is log_10 10? How do I work in log_10 in Excel? See all questions in Common Logs Impact of this question 3154 views around the world You can reuse this answer Creative Commons License