How do you solve #(log_5 20^4)*(log_20 5^4)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Shwetank Mauria Apr 9, 2016 #log_5(20^4)*log_20(5^4)=16# Explanation: #log_5(20^4)*log_20(5^4)# = #log20^4/log5*log5^4/log20# = #(4cancellog20)/cancellog5*(4cancellog5)/cancellog20# = #4xx4=16# 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 2116 views around the world You can reuse this answer Creative Commons License