How do you solve #10^(x+4) =1000#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer ali ergin Mar 28, 2016 #x=-1# Explanation: #10^(x+4)=1000# #color(blue)(10)^(x+4)=color(blue)(10)^3# #"the equation has the same base value;"# #x+4=3 " it can be written"# #x=3-4# #x=-1# 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 2325 views around the world You can reuse this answer Creative Commons License