How do you show #x^(log y) = y^(log x)#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Cesareo R. Jun 16, 2016 Applying the #log# thansformation to both sides Explanation: #x^(log y) = y^(log x)# Applying the #log# thansformation to both sides #log y* log x = logx* log 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 22834 views around the world You can reuse this answer Creative Commons License