SOLUTION: Solve this exponential equation. {{{e^x = e^(4x+27)}}} Need a step by step line by line explanation

Algebra ->  Linear-equations -> SOLUTION: Solve this exponential equation. {{{e^x = e^(4x+27)}}} Need a step by step line by line explanation       Log On


   

Question 1140621: Solve this exponential equation.
e%5Ex+=+e%5E%284x%2B27%29
Need a step by step line by line explanation
Answer by Edwin McCravy(20063) About Me  (Show Source):
You can put this solution on YOUR website!
Solve this exponential equation.
 

e%5Ex+=+e%5E%284x%2B27%29

The rule is: If two exponentials with the same base are equal, and
the base is positive and not equal to 1, then the exponents are equal.

Since the base of both exponentials is e = 2.718ยทยทยท, which is positive 
and not equal to 1, we can set the exponents equal to each other, and
ignore the common base.

x = 4x+27

I think you can solve that pretty easily.

Edwin