How do you solve #log8^w=3#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Kevin B. Jun 7, 2015 #w = 3/(log(8)# Explanation: Assuming #log# without a subscript is referring to #log_10#: #log(8)^w = 3# #w* log(8) = 3# #w = 3/(log(8)# 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 1700 views around the world You can reuse this answer Creative Commons License