How do you calculate #log_(1/125) 125#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer ali ergin Apr 8, 2016 #x=-1# Explanation: #log_(1/125) 125=x# #125=(1/125)^x# #5^3=(5^-3)^x# #5^3=5^(-3x)# #"so equation has the same base;"# #3=-3x# #x=-1# 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 3243 views around the world You can reuse this answer Creative Commons License