How do you solve #2 Log (x - 4) = 4 log 2#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Konstantinos Michailidis Nov 25, 2015 We must have #x-4>0=>x>4# hence #2log(x-4)=4log2=>log(x-4)^2=log2^4=>(x-4)^2=2^4=>x-4=+-4=>x=8 or x=0# Finally #x=8# 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 1582 views around the world You can reuse this answer Creative Commons License