How do you solve 8^x – 2 = 3? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Bdub Apr 21, 2016 x=(ln5)/(ln8) ~~0.774 Explanation: 8^x=3+2 8^x=5 ln 8^x=ln5 x ln 8=ln5 x=(ln5)/(ln8) ~~0.774 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 1043 views around the world You can reuse this answer Creative Commons License