Find the value of #log_2[log_2{log_3(log_3 27^3)}]#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer P dilip_k Nov 11, 2017 #log_2[log_2{log_3(log_3 27^3)}]# #=log_2[log_2{log_3(log_3 (3^3)^3)}]# #=log_2[log_2{log_3(log_3 (3^9)}]# #=log_2[log_2{log_3(9log_3 3)}]# #=log_2[log_2{log_3 3^2*1}]# #=log_2[log_2{2log_3 3}]# #=log_2[log_2 2]# #=log_2 1=0# 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 15825 views around the world You can reuse this answer Creative Commons License