text: For the first one, ln x = 63, just rewrite the equation in exponential form:\n\nx = e^63\n\nFor the next one, remember that ln e^5x = 5x, and you're pretty much there.\n\nFor the third one, note that it is quadratic in e^x, so you can use any of the techniques for solving quadratics.  As a clue, suppose we say y = e^x,  Then your problem becomes\n\ny^2 - 6y + 8 = 0\n\nSolve that for y, then remember that y = e^x.  You'll need to take the natural log of both sides to get your final answer.\n\nHope that helps.