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

Question 1140621: Solve this exponential equation.

Need a step by step line by line explanation
Answer by Edwin McCravy(20065) (Show Source): You can put this solution on YOUR website!
Solve this exponential equation.

 



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 = 2.718···, 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

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