How do you approximate #log_3 (7/2)# given #log_3 2=0.6310# and #log_3 7=1.7712#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Narad T. Oct 18, 2016 #=1.1402# Explanation: Use the definition #log(a/b)=loga-logb# #log₃(7/2)=log₃7-log₃2=1.7712-0.6310=1.1402# 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 1402 views around the world You can reuse this answer Creative Commons License