How do you condense #log_(6)(x+4)+1/2log_(6)x#? Precalculus Properties of Logarithmic Functions Common Logs 1 Answer Gerardina C. Aug 4, 2016 #log_6((x+4)sqrtx)# Explanation: Since #n log_b a=log_b a^n#, you have #1/2log_6 x=log_6 x^(1/2)=log_6sqrt(x)# Since #log_b a+log_b c=log_b (ac)#, you have #log_6(x+4)+log_6sqrtx=log_6((x+4)sqrtx)# 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 1296 views around the world You can reuse this answer Creative Commons License