How do you solve #log_4x=2.5#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Costas C. Jan 5, 2016 Use #x=log_ax^a# The answer is: #x=39.0625# Explanation: #log_4x=2.5# #log_4x=log_4(2.5)^4# #x=2.5^4# #x=39.0625# 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 2278 views around the world You can reuse this answer Creative Commons License