How do you expand this logarithm? #log_(9)(zsqrtx*y)# Precalculus Properties of Logarithmic Functions Common Logs 2 Answers GiĆ³ Nov 26, 2016 Answer: This is the best I got... Explanation: Try to use the product of the arguments to change it into a sum of logs as: #log_9(zsqrt(x)*y)=log_9(z*sqrt(x))+log_9(y)=# and again: #=log_9(z)+log_9(sqrt(x))+log_9(y)# Annie Nov 27, 2016 #log_9sqrtx=log_9x^(1/2)=1/2log_9x# 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 257 views around the world You can reuse this answer Creative Commons License