How do you simplify #log_4 8#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Costas C. May 7, 2016 Use the logarithmic properties: #log_a(b^c)=c*log_a(b)# #log_a(b)=log_c(b)/log_c(a)# You can notice that #c=2# fits this case since #8# can be derived as a power of #2#. Answer is: #log_(4)8=1.5# Explanation: #log_(4)8# #log_(2)8/log_(2)4# #log_(2)2^3/log_(2)2^2# #(3*log_(2)2)/(2*log_(2)2)# #3/2# #1.5# 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 3202 views around the world You can reuse this answer Creative Commons License