How do you solve #1/2log_6(16x)=3#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Ratnaker Mehta Aug 11, 2016 #x=2916#. Explanation: #1/2log_2(16x)=3# #rArr log_6(16x)=6# #rArr 16x=6^6=2^6*3^6# #rArr x=(2^6*3^6)/16=(2^6*3^6)/2^4=2^2*3^6# #rArr x=4*729=2916#. 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 1923 views around the world You can reuse this answer Creative Commons License