How do you condense # 1/2 log_2 (x^4 )+ 1/4 log_2(x^4) - 1/6 log_2 x#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer A. S. Adikesavan Mar 16, 2016 # 17/6 log_2 x# Explanation: Use #log (a^mb^n)=m log a + n logb# The expression = #log_2 x^(4/2 + 4/4 - 1/6)#. #= log_2x^(17/6)= 17/6 log_2x#. 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 1600 views around the world You can reuse this answer Creative Commons License