How do you simplify #3^(log_8 27) #? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Konstantinos Michailidis Mar 18, 2016 We have that #log_8 27=log27/log8=(log3^3/log2^3)=log3/log2# Hence #3^(log_8 27)=3^(log3/log2)# 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 2063 views around the world You can reuse this answer Creative Commons License