How do you solve #log_5 x=-3#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer A. S. Adikesavan Apr 13, 2016 #x=1/125=0.008#. Explanation: Inversely, #x=5^(-3)=1/5^3=1/125=0.008#. Note that if #log_ax=b, x=a^b# and, inversely, if #x=a^b, log_a x=b#.. 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 2602 views around the world You can reuse this answer Creative Commons License