How do you solve the equation #log_4a+log_4 9=log_4 27#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bdub Oct 27, 2016 #a=3# Explanation: #log_4 a + log_4 9 = log_4 27# #log_4 a + log_4 9 - log_4 27=0# #log_4( (9a)/27)=0#----->Use properties #log_b x+log_b y = log_b (xy)# and #log_b x-log_b y = log_b (x/y)# #4^0=(9a)/27# #1=(9a)/27# #27=9a# #a = 3# Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve #9^(x-4)=81#? How do you solve #logx+log(x+15)=2#? How do you solve the equation #2 log4(x + 7)-log4(16) = 2#? How do you solve #2 log x^4 = 16#? How do you solve #2+log_3(2x+5)-log_3x=4#? See all questions in Logarithmic Models Impact of this question 2019 views around the world You can reuse this answer Creative Commons License