How do you expand #log_3 48#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer George C. Sep 4, 2016 #log_3 48 = 1+4 log_3 2# Explanation: Note that #48 = 3*2^4# So: #log_3 48 = log_3 (3*2^4) = log_3 3 + log_3 (2^4) = 1+4 log_3 2# 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 1738 views around the world You can reuse this answer Creative Commons License