How do you solve the exponential equation #9^x=3^(x+4)#? Precalculus Algebraic Modeling Solving Problems Algebraically and Graphically 1 Answer Shwetank Mauria · Monzur R. Feb 20, 2017 #x=4# Explanation: As #9^x=3^(x+4# we have #(3^2)^x=3^(x+4)# or #3^(2x)=3^(x+4)# or #2x=x+4# i.e. #2x-x=4# and #x=4# 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 1747 views around the world You can reuse this answer Creative Commons License