SOLUTION: What is the value of x when e^(2x) = 7e^x-12

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: What is the value of x when e^(2x) = 7e^x-12      Log On


   



Question 518402: What is the value of x when e^(2x) = 7e^x-12
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Take the natural log of both sides:



The log of the product is the sum of the logs:



Use



and



to write





Is the exact answer. A numerical approximation is right there in your calculator.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism