How do you condense #log_5 (240) − log_5 (75) − log_5 (80)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #log_5 240 - log_5 75 -log_5 80##=log _5(1/25)#->#=-2# Explanation: #log_5 240 - log_5 75 -log_5 80# #=log_5(240/(75*80))# #=log _5(1/25)# #=log_5(1/5^2)# #=log_5 5^-2#->Use property #1/x^n = x^-n# #=-2* log_5 5#->use property #log_bx ^n=n*log_b x# #=-2*1#->use property #log_b b=1# #=-2# 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 3412 views around the world You can reuse this answer Creative Commons License