How do you condense #2log(x-3)+log(x+2)-6logx#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #2log(x-3)+log(x+2)-6logx##=log(((x-3)^2 (x+2))/x^6)# Explanation: #2log(x-3)+log(x+2)-6logx# #=log(x-3)^2+log(x+2)-logx^6#-> use property #log_bx^n=nlog_bx# #=log(((x-3)^2 (x+2))/x^6)#->use properties #log_b(xy)=log_bx+log_by, and log_b(x/y) = log_b x-log_b y# 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 2070 views around the world You can reuse this answer Creative Commons License