How do you condense # log(5) - log(x) - log(x^3) + log(7)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Alan P. Jan 5, 2016 #log(35)-log(x^4)# Explanation: Remember: #color(white)("XXX")log(a)+log(b) = log(ab)# #log(5)-log(x)-log(x^3)+log(7)# #color(white)("XXX")=color(red)((log(5)+log(7)))-color(blue)((log(x)+log(x^3)))# #color(white)("XXX")=color(red)(log(35)) - color(blue)(log(x^4))# 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 1887 views around the world You can reuse this answer Creative Commons License