How do you evaluate #log_2 4^22#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #log_2 4^22##=44# Explanation: #log_2 4^22# #=22 log_2 4#-> use property #log_b x^n=nlog_b x# #=22 log_2 2^2# #=2*22 log_2 2#-> use property #log_b b= 1# #=44 (1)# #=44# 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 1391 views around the world You can reuse this answer Creative Commons License