How do you expand #log_7(sqrt x^3 /y)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 22, 2016 #log_7(sqrtx^3 /y)##=3/2 log_7 x-log_7y# Explanation: #log_7(sqrtx^3 /y)# #=log_7 sqrtx ^3 - log_7y# #=log_7x^(3/2)-log_7y# #=3/2 log_7 x-log_7y#-> use property #log_bx^n=nlog_bx# 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 1814 views around the world You can reuse this answer Creative Commons License