How do you use the properties of logarithms to expand #log_4 (5x)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Binayaka C. Oct 30, 2017 #log_4 (5x) =1.16+log_4 x# Explanation: #log_4 (5x) = log_4 5 +log_4 x= log5/log4 + log_4 x# #= 1.16(2dp)+log_4 x# Properties used are : # log_a (xy) = log x + log y and log_a x = log_10 x/log_10 a# #log_4 (5x) =1.16+log_4 x# [Ans] 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 1682 views around the world You can reuse this answer Creative Commons License