Simplify 6^log(36)9 11/24/2013 | Jamey from Rock Hill, SC | 2 Answers | 0 Votes Mark favorite Subscribe Comment
6^{(log369)}=6^{(log69/log636)}=6^{(log69)/2}=√9=3, since 6^{log69}=9 11/25/2013 | Michael F. Comment
6^(log_{36}9) Use "change of base": log_{36} 9 = (log_{6} 9)/(log_{6} 36) Since log_{6} 36 = 2, 6^(log_{36}9) = 6^((log_{6} 9)/2) = (6^(log_{6} 9))^{1/2} (6^(log_{6} 9))^{1/2} Since 6^(log_{6} 9) = 9 (9)^{1/2} = sqrt(9) = 3 Answer: 3 11/25/2013 | Jason S. Comment