How do you solve #3^(-3x+1) = 3^(x-9)# and find any extraneous solutions? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Eddie Jun 30, 2016 #5/2# Explanation: #3^(-3x+1) = 3^(x-9)# #implies -3x+1 = x-9# Or # 10 = 4x, qquad x = 5/2# 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 1528 views around the world You can reuse this answer Creative Commons License