How do you solve 4^(x-1)=3? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Konstantinos Michailidis Sep 10, 2015 The value of x=1+log3/log4 Explanation: Taking logarithms in both sides we get log4^(x-1)=log3=>(x-1)log4=log3=>x-1=log3/log4=>x=1+log3/log4 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 1283 views around the world You can reuse this answer Creative Commons License