How do you use the properties of logarithms to expand log_3 (10z)? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Bdub Mar 9, 2017 log_3(10z)=log_3 10+log_3 z Explanation: Use the property log_b(xy)=log_b x+log_b y Therefore, log_3(10z)=log_3 10+log_3 z 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 1825 views around the world You can reuse this answer Creative Commons License