How do you approximate #log_5 9# given #log_5 2=0.4307# and #log_5 3=0.6826#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Cesareo R. Oct 15, 2016 #log_5 9 approx 1.3652# Explanation: We know that #log_5 9 = log_5 3^2 =2log_5 3 = 2xx0.6826 = 1.3652# 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 1603 views around the world You can reuse this answer Creative Commons License