How do you solve log_5 (x+3)= 3 + log_5 (x-3) ? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Shwetank Mauria Apr 10, 2016 x=189/62=3 3/62 Explanation: As log_ba=loga/logb log_5(x+3)=3+log_5(x-3) can be written as log(x+3)/log5=3+log(x-3)/log5 As log5!=0, multiplying both sides by log5 log(x+3)=3log5+log(x-3) or (x+3)=5^3(x-3)=125(x-3) or x+3=125x-375 or 124x=378 and x=378/124=189/62=3 3/62 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 2013 views around the world You can reuse this answer Creative Commons License