How do you solve #log_7 4-log_7(x-4)=log_7 41#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer EZ as pi · Noah G Aug 7, 2016 Answer: #x = 168/41# Explanation: #log_7 4-log_7(x-4)=log_7 41# If log terms are being subtracted, the numbers are being divided. #log_7(4/(x-4))= log_7 41# #:. 4/(x-4)= 41 " if " logA = logB, "then " A = B# #4 = 41(x-4)# #4 = 41x -164# #4+164 = 41x# #168 = 41x# #x = 168/41# 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 371 views around the world You can reuse this answer Creative Commons License