How do you use the properties of logarithms to expand #lnroot3(x/y)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer mizoo Jul 4, 2018 #ln root(3)(x/y) = 1/3 ln x - 1/3 ln y # Explanation: #ln root(3)(x/y) # #= ln (x/y)^(1/3) # #= 1/3 xx ln (x/y) # #= 1/3 xx (ln x - ln y) # #= 1/3 ln x - 1/3 ln y # 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 1886 views around the world You can reuse this answer Creative Commons License