How do you solve #log_3 (8)+log_3(-5x)=3#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer A. S. Adikesavan Nov 8, 2016 #x=-27/40# Explanation: #x<0# to make #log_3(-5x)# real. Use log (ab) = log a + log b. #log_3(-40x)=3#. Inversely, #-40x=3^3=27#, and so, #x=-27/40#. 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 1475 views around the world You can reuse this answer Creative Commons License