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 2902 views around the world You can reuse this answer Creative Commons License