How do you solve #3^x=log 4#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Shwetank Mauria Apr 14, 2016 #x=-0.4619# Explanation: If #3^x=log4# then #log_3(log4)=x# or #x=log_3(log4)=log(log4)/log3=log(0.60206)/0.4771=(-0.22036)/0.4771=-0.4619# 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 1194 views around the world You can reuse this answer Creative Commons License