How do you evaluate # log_6(root5 36)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer A. S. Adikesavan Apr 27, 2016 #2/5# Explanation: Use # log_a a= 1 and log(a^m)^n=log a^(mn)=mn log a#. #log_6root(5) 36=log_6root(5) (6^2)=log_6((root(5)6)^2)=log_6 6^(2/5)=(2/5)log_6 6=2/5 # 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 1775 views around the world You can reuse this answer Creative Commons License