How do you solve the exponential equation #81^(3-x)=(1/3)^(5x-6)#? Precalculus Algebraic Modeling Solving Problems Algebraically and Graphically 1 Answer 冠廷 李. May 2, 2017 #x=-6# Explanation: #81^(3-x)=(1/3)^(5x-6)# #(3^4)^(3-x)=(3^-1)^(5x-6)# #3^(12-4x)=3^(-5x+6)# #12-4x=-5x+6# #x=-6# Answer link Related questions What does it mean to solve a problem algebraically? What is a sample problem to solve algebraically? What does it mean to solve a problem graphically? What is a sample problem to solve graphically? How do I find #f(3)# from the graph of #f(x) = x^2 - 4x + 3#? How do I find #f(x)# if its graph includes #{(1, 5), (2, 8), (3, 11)}#? How can I use a graph to write an algebraic function? How do I use algebra to find a graph's x-intercept? Given vectors #u##=##<4,1># & #v##=##<1,3>#, how would I determine the quantity #3u#*#-2v#? How do you solve #x^3 + 4x^2 - 20x = 80#? See all questions in Solving Problems Algebraically and Graphically Impact of this question 4802 views around the world You can reuse this answer Creative Commons License