How do you expand #log_2 20#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer A. S. Adikesavan May 27, 2016 #2 + log 5/log 2=4.322#, nearly. Explanation: Use #log_b a = log_c a/log_c b, log_2 a^n=n log_2 a and log_2 2=1# #log_2 20 = log_2((2^2)5)# #=log_2 2^2+log_2 5# #=2 log_2 2+log_2 5# #= 2(1)+log 5/log 2# #=4.322, nearly. 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 1472 views around the world You can reuse this answer Creative Commons License