Question

How do i solve this equation for x? 6e^2x=7e^4x

Answer 1

Divide by e^2x to get 6 = 7e^2x. Then take the natural log of both sides so you now have ln6 = ln7e^2x. Use laws of logs to make this ln6=2xln7e. Rearrange for x to get x=(ln6)/(2ln7e) and plug it into your calculator.