How do you solve 2e^(0.5x)=45? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Shwetank Mauria Jul 29, 2016 x=6.227 Explanation: As 2e^(0.5x)=45, we have e^(0.5x)=45/2=22.5. Hence 0.5x=ln22.5 and x=ln22.5/0.5=ln22.5/(1/2)=2xxln22.5=2xx3.1135=6.227 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 5881 views around the world You can reuse this answer Creative Commons License