How do you evaluate #log_6 ( 1296 )#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Alan P. May 3, 2016 #log_6(1296)=4# Explanation: #6^1=6# #6^2=6xx6=36# #6^3=36xx6=216# #6^4=216xx6=1296# #log_b(e)=k# is equivalent to saying #b^k=e# Therefore if #6^4=1296# then #log_6(1296)=4# 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 8676 views around the world You can reuse this answer Creative Commons License