How do you expand #log (1/ABC) #? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Rafael Oct 25, 2015 #log(1/ABC)=-log(A)+log(B)+log(C)# Explanation: #[1]" "log(1/ABC)# Property: #log_b(mn)=log_b(m)+log_b(n)# #[2]" "=log(1/A)+log(B)+log(C)# Property: #log_b(m/n)=log_b(m)-log_b(n)# #[3]" "=log(1)-log(A)+log(B)+log(C)# Property: #log_b(1)=0# #[4]" "=color(blue)(-log(A)+log(B)+log(C))# 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 2038 views around the world You can reuse this answer Creative Commons License