How do you solve for x in #log_3(x^(2)-2x)=1#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Rui D. Dec 31, 2015 #x_1=-1# and #x_2=3# Explanation: #log_3 (x^2-2x)=1# #x^2-2x=3^1# #x^2-2x-3=0# #Delta = 4 +12 =16# #x=(-b+-sqrt(Delta))/2=(2+-4)/2# => #x_1=-1# and #x_2=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 3112 views around the world You can reuse this answer Creative Commons License