How do you solve for w in #logw=1/2logx + logy#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Noah G May 18, 2016 #w = x^2y# Explanation: #0 = 1/2logx + logy - logw# #0 = logx^2 + logy - logw# #0 = log((x^2 xx y)/w)# #10^0 = (x^2y)/w# #1 = (x^2y)/w# #w = x^2y# Hopefully this helps! 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 4476 views around the world You can reuse this answer Creative Commons License