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 3620 views around the world You can reuse this answer Creative Commons License